Subjects -> EARTH SCIENCES (Total: 771 journals)
    - EARTH SCIENCES (527 journals)
    - GEOLOGY (94 journals)
    - GEOPHYSICS (33 journals)
    - HYDROLOGY (29 journals)
    - OCEANOGRAPHY (88 journals)

EARTH SCIENCES (527 journals)                  1 2 3 | Last

Showing 1 - 200 of 371 Journals sorted by number of followers
Nature Geoscience     Full-text available via subscription   (Followers: 164)
IEEE Geoscience and Remote Sensing Letters     Hybrid Journal   (Followers: 151)
Earth and Planetary Science Letters     Hybrid Journal   (Followers: 145)
International Journal of Remote Sensing     Hybrid Journal   (Followers: 145)
Journal of Atmospheric and Solar-Terrestrial Physics     Hybrid Journal   (Followers: 134)
Journal of the Atmospheric Sciences     Hybrid Journal   (Followers: 83)
Ocean & Coastal Management     Hybrid Journal   (Followers: 62)
Marine Policy     Hybrid Journal   (Followers: 61)
International Journal of Geographical Information Science     Hybrid Journal   (Followers: 55)
Geochimica et Cosmochimica Acta     Hybrid Journal   (Followers: 54)
ICES Journal of Marine Science: Journal du Conseil     Hybrid Journal   (Followers: 53)
Natural Hazards     Hybrid Journal   (Followers: 53)
Journal of Earth System Science     Open Access   (Followers: 52)
Aquatic Conservation Marine and Freshwater Ecosystems     Hybrid Journal   (Followers: 44)
Hydrological Processes     Hybrid Journal   (Followers: 44)
Estuarine, Coastal and Shelf Science     Hybrid Journal   (Followers: 41)
Geophysical Journal International     Hybrid Journal   (Followers: 40)
Journal of Hydrologic Engineering     Full-text available via subscription   (Followers: 40)
Groundwater     Hybrid Journal   (Followers: 37)
International Journal of Earth Sciences     Hybrid Journal   (Followers: 37)
International Journal of Applied Earth Observation and Geoinformation     Open Access   (Followers: 36)
Physics of the Earth and Planetary Interiors     Hybrid Journal   (Followers: 34)
Journal of Atmospheric and Oceanic Technology     Hybrid Journal   (Followers: 33)
Geomorphology     Hybrid Journal   (Followers: 33)
Chemical Geology     Hybrid Journal   (Followers: 31)
Marine Geology     Hybrid Journal   (Followers: 31)
Geology Today     Hybrid Journal   (Followers: 31)
Marine Environmental Research     Hybrid Journal   (Followers: 31)
Journal of Quaternary Science     Hybrid Journal   (Followers: 31)
Reviews of Modern Physics     Full-text available via subscription   (Followers: 30)
Journal of Geotechnical and Geoenvironmental Engineering     Full-text available via subscription   (Followers: 30)
Journal of Geology     Full-text available via subscription   (Followers: 30)
Coastal Management     Hybrid Journal   (Followers: 29)
Advances In Physics     Hybrid Journal   (Followers: 29)
GPS Solutions     Hybrid Journal   (Followers: 28)
Bulletin of the Seismological Society of America     Full-text available via subscription   (Followers: 26)
Landslides     Hybrid Journal   (Followers: 26)
Journal of Structural Geology     Hybrid Journal   (Followers: 26)
Quaternary Science Reviews     Hybrid Journal   (Followers: 26)
Ground Water Monitoring & Remediation     Hybrid Journal   (Followers: 25)
Geoforum     Hybrid Journal   (Followers: 25)
Earth Surface Processes and Landforms     Hybrid Journal   (Followers: 25)
Environmental Geology     Hybrid Journal   (Followers: 25)
Tectonophysics     Hybrid Journal   (Followers: 24)
Geocarto International     Hybrid Journal   (Followers: 23)
Coral Reefs     Hybrid Journal   (Followers: 22)
Bulletin of Volcanology     Hybrid Journal   (Followers: 22)
Hydrogeology Journal     Hybrid Journal   (Followers: 21)
Hydrobiologia     Hybrid Journal   (Followers: 21)
Tellus A     Open Access   (Followers: 21)
Marine and Petroleum Geology     Hybrid Journal   (Followers: 21)
Water Resources     Hybrid Journal   (Followers: 21)
Journal of Plasma Physics     Hybrid Journal   (Followers: 21)
Earthquake Spectra     Hybrid Journal   (Followers: 20)
Tellus B     Open Access   (Followers: 20)
Journal of Marine Research     Full-text available via subscription   (Followers: 20)
Sedimentary Geology     Hybrid Journal   (Followers: 20)
Dynamics of Atmospheres and Oceans     Hybrid Journal   (Followers: 19)
Geophysics     Full-text available via subscription   (Followers: 19)
Quaternary Research     Full-text available via subscription   (Followers: 19)
Geological Journal     Hybrid Journal   (Followers: 19)
Global and Planetary Change     Hybrid Journal   (Followers: 18)
Physics of Metals and Metallography     Hybrid Journal   (Followers: 18)
African Journal of Aquatic Science     Hybrid Journal   (Followers: 17)
Computational Geosciences     Hybrid Journal   (Followers: 17)
Journal of Volcanology and Geothermal Research     Hybrid Journal   (Followers: 17)
Natural Hazards Review     Full-text available via subscription   (Followers: 16)
Geological Magazine     Hybrid Journal   (Followers: 16)
The Holocene     Hybrid Journal   (Followers: 16)
Atmosphere-Ocean     Full-text available via subscription   (Followers: 16)
Journal of Metamorphic Geology     Hybrid Journal   (Followers: 15)
Journal of Applied Geophysics     Hybrid Journal   (Followers: 15)
Journal of Asian Earth Sciences     Hybrid Journal   (Followers: 15)
Sedimentology     Hybrid Journal   (Followers: 15)
Ocean Development & International Law     Hybrid Journal   (Followers: 15)
Applied Geochemistry     Hybrid Journal   (Followers: 14)
Quaternary International     Hybrid Journal   (Followers: 14)
Journal of the World Aquaculture Society     Hybrid Journal   (Followers: 13)
Journal of Hydro-environment Research     Full-text available via subscription   (Followers: 13)
Pramana     Open Access   (Followers: 13)
Soil Dynamics and Earthquake Engineering     Hybrid Journal   (Followers: 13)
Electromagnetics     Hybrid Journal   (Followers: 13)
Ocean Modelling     Hybrid Journal   (Followers: 12)
European Journal of Mineralogy     Hybrid Journal   (Followers: 12)
Frontiers of Earth Science     Hybrid Journal   (Followers: 12)
Continental Shelf Research     Hybrid Journal   (Followers: 12)
Computers and Geotechnics     Hybrid Journal   (Followers: 12)
Arctic, Antarctic, and Alpine Research     Open Access   (Followers: 12)
Pure and Applied Geophysics     Hybrid Journal   (Followers: 12)
CATENA     Hybrid Journal   (Followers: 11)
Journal of Petrology     Hybrid Journal   (Followers: 11)
Ore Geology Reviews     Hybrid Journal   (Followers: 11)
Contributions to Mineralogy and Petrology     Hybrid Journal   (Followers: 11)
Applied Geophysics     Hybrid Journal   (Followers: 11)
Journal of African Earth Sciences     Hybrid Journal   (Followers: 11)
IEEE Journal of Oceanic Engineering     Hybrid Journal   (Followers: 11)
Marine Mammal Science     Hybrid Journal   (Followers: 10)
Cretaceous Research     Hybrid Journal   (Followers: 10)
Earth Interactions     Open Access   (Followers: 10)
Australian Journal of Earth Sciences: An International Geoscience Journal of the Geological Society of Australia     Hybrid Journal   (Followers: 10)
Bulletin of Earthquake Engineering     Hybrid Journal   (Followers: 10)
Gondwana Research     Hybrid Journal   (Followers: 10)
Physics of Plasmas     Hybrid Journal   (Followers: 10)
Journal of Seismology     Hybrid Journal   (Followers: 9)
Physik in unserer Zeit     Hybrid Journal   (Followers: 9)
Lithos     Hybrid Journal   (Followers: 9)
Limnology     Hybrid Journal   (Followers: 9)
Acta Geophysica     Hybrid Journal   (Followers: 9)
Journal of Contemporary Physics (Armenian Academy of Sciences)     Hybrid Journal   (Followers: 9)
Journal of Marine Systems     Hybrid Journal   (Followers: 9)
Geotectonics     Hybrid Journal   (Followers: 9)
Facies     Hybrid Journal   (Followers: 9)
Comptes Rendus : Geoscience     Open Access   (Followers: 9)
Journal of Geodesy     Hybrid Journal   (Followers: 9)
Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards     Hybrid Journal   (Followers: 8)
Geophysical & Astrophysical Fluid Dynamics     Hybrid Journal   (Followers: 8)
Natural Resources Research     Hybrid Journal   (Followers: 8)
Geobiology     Hybrid Journal   (Followers: 8)
Quaternary Geochronology     Hybrid Journal   (Followers: 8)
Earthquake Engineering and Engineering Vibration     Hybrid Journal   (Followers: 8)
Geophysical Prospecting     Hybrid Journal   (Followers: 7)
Journal of Systematic Palaeontology     Hybrid Journal   (Followers: 7)
Physics of the Solid State     Hybrid Journal   (Followers: 7)
Plasma Physics Reports     Hybrid Journal   (Followers: 7)
Precambrian Research     Hybrid Journal   (Followers: 7)
Ocean Engineering     Hybrid Journal   (Followers: 6)
Petrology     Full-text available via subscription   (Followers: 6)
Applied Clay Science     Hybrid Journal   (Followers: 6)
Journal of Sea Research     Hybrid Journal   (Followers: 6)
Geochemistry : Exploration, Environment, Analysis     Hybrid Journal   (Followers: 6)
Acta Geotechnica     Hybrid Journal   (Followers: 6)
Geo-Marine Letters     Hybrid Journal   (Followers: 6)
Journal of Coastal Conservation     Hybrid Journal   (Followers: 6)
Applied Ocean Research     Hybrid Journal   (Followers: 6)
Rock Mechanics and Rock Engineering     Hybrid Journal   (Followers: 6)
Chinese Geographical Science     Hybrid Journal   (Followers: 6)
Journal of Geodynamics     Hybrid Journal   (Followers: 6)
Resource Geology     Hybrid Journal   (Followers: 6)
Marine and Freshwater Research     Hybrid Journal   (Followers: 6)
Ocean Dynamics     Hybrid Journal   (Followers: 6)
International Journal of Geomechanics     Full-text available via subscription   (Followers: 6)
Island Arc     Hybrid Journal   (Followers: 5)
Geofluids     Open Access   (Followers: 5)
Computational Mathematics and Mathematical Physics     Hybrid Journal   (Followers: 5)
Marine Geophysical Researches     Hybrid Journal   (Followers: 5)
Geochemistry     Hybrid Journal   (Followers: 5)
Permafrost and Periglacial Processes     Hybrid Journal   (Followers: 5)
Zeitschrift für Geomorphologie     Full-text available via subscription   (Followers: 5)
Terra Nova     Hybrid Journal   (Followers: 5)
Energy Exploration & Exploitation     Open Access   (Followers: 4)
Organic Geochemistry     Hybrid Journal   (Followers: 4)
Mineralium Deposita     Hybrid Journal   (Followers: 4)
Marine Geodesy     Hybrid Journal   (Followers: 4)
Limnologica     Hybrid Journal   (Followers: 4)
Meteorologische Zeitschrift     Full-text available via subscription   (Followers: 4)
Letters in Mathematical Physics     Hybrid Journal   (Followers: 4)
Geostandards and Geoanalytical Research     Hybrid Journal   (Followers: 3)
Surveys in Geophysics     Hybrid Journal   (Followers: 3)
Lithology and Mineral Resources     Hybrid Journal   (Followers: 3)
Russian Geology and Geophysics     Hybrid Journal   (Followers: 3)
Journal of Oceanology and Limnology     Hybrid Journal   (Followers: 3)
JETP Letters     Hybrid Journal   (Followers: 3)
Mathematical Physics, Analysis and Geometry     Hybrid Journal   (Followers: 3)
Fundamental and Applied Limnology / Archiv für Hydrobiologie     Full-text available via subscription   (Followers: 3)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 3)
Neues Jahrbuch für Geologie und Paläontologie - Abhandlungen     Full-text available via subscription   (Followers: 3)
Geomagnetism and Aeronomy     Hybrid Journal   (Followers: 3)
Journal of Petroleum Science and Engineering     Hybrid Journal   (Followers: 3)
Journal of Marine Science and Technology     Hybrid Journal   (Followers: 3)
Zeitschrift der Deutschen Gesellschaft für Geowissenschaften     Full-text available via subscription   (Followers: 3)
Stratigraphy and Geological Correlation     Full-text available via subscription   (Followers: 2)
Annales Henri Poincaré     Hybrid Journal   (Followers: 2)
Rocks & Minerals     Hybrid Journal   (Followers: 2)
Newsletters on Stratigraphy     Full-text available via subscription   (Followers: 2)
Polar Record     Hybrid Journal   (Followers: 2)
Mineralogy and Petrology     Hybrid Journal   (Followers: 2)
International Journal of Coal Geology     Hybrid Journal   (Followers: 2)
Helgoland Marine Research     Open Access   (Followers: 2)
Journal of Geophysics and Engineering     Hybrid Journal   (Followers: 2)
Izvestiya, Physics of the Solid Earth     Hybrid Journal   (Followers: 2)
Journal of Mining Science     Hybrid Journal   (Followers: 2)
Studia Geophysica et Geodaetica     Hybrid Journal   (Followers: 1)
The Leading Edge     Hybrid Journal   (Followers: 1)
Izvestiya, Atmospheric and Oceanic Physics     Full-text available via subscription   (Followers: 1)
Doklady Physics     Hybrid Journal   (Followers: 1)
Russian Physics Journal     Hybrid Journal   (Followers: 1)
Reports on Mathematical Physics     Full-text available via subscription   (Followers: 1)
Glass Physics and Chemistry     Hybrid Journal   (Followers: 1)
Physics of Life Reviews     Hybrid Journal   (Followers: 1)
Neues Jahrbuch für Mineralogie - Abhandlungen     Full-text available via subscription   (Followers: 1)
Russian Journal of Pacific Geology     Hybrid Journal  
Russian Journal of Mathematical Physics     Full-text available via subscription  
Physics of Wave Phenomena     Hybrid Journal  
Moscow University Physics Bulletin     Hybrid Journal  
Moscow University Geology Bulletin     Hybrid Journal  
Marine Georesources & Geotechnology     Hybrid Journal  
Journal of Mountain Science     Hybrid Journal  
Grassland Science     Hybrid Journal  
Erwerbs-Obstbau     Hybrid Journal  
Bulletin of the Lebedev Physics Institute     Hybrid Journal  

        1 2 3 | Last

Similar Journals
Journal Cover
Mathematical Physics, Analysis and Geometry
Journal Prestige (SJR): 0.545
Citation Impact (citeScore): 1
Number of Followers: 3  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1572-9656 - ISSN (Online) 1385-0172
Published by Springer-Verlag Homepage  [2469 journals]
  • Convergence and an Explicit Formula for the Joint Moments of the Circular
           Jacobi $$\beta $$ β -Ensemble Characteristic Polynomial

    • Free pre-print version: Loading...

      Abstract: Abstract The problem of convergence of the joint moments, which depend on two parameters s and h, of the characteristic polynomial of a random Haar-distributed unitary matrix and its derivative, as the matrix size goes to infinity, has been studied for two decades, beginning with the thesis of Hughes (On the characteristic polynomial of a random unitary matrix and the Riemann zeta function, PhD Thesis, University of Bristol, 2001). Recently, Forrester (Joint moments of a characteristic polynomial and its derivative for the circular \(\beta \) -ensemble, arXiv:2012.08618, 2020) considered the analogous problem for the Circular \(\beta \) -Ensemble (C \(\beta \) E) characteristic polynomial, proved convergence and obtained an explicit combinatorial formula for the limit for integer s and complex h. In this paper we consider this problem for a generalisation of the C \(\beta \) E, the Circular Jacobi \(\beta \) -ensemble (CJ \(\beta \text {E}_\delta \) ), depending on an additional complex parameter \(\delta \) and we prove convergence of the joint moments for general positive real exponents s and h. We give a representation for the limit in terms of the moments of a family of real random variables of independent interest. This is done by making use of some general results on consistent probability measures on interlacing arrays. Using these techniques, we also extend Forrester’s explicit formula to the case of real s and \(\delta \) and integer h. Finally, we prove an analogous result for the moments of the logarithmic derivative of the characteristic polynomial of the Laguerre \(\beta \) -ensemble.
      PubDate: 2022-05-14
       
  • A Remark on the Spherical Bipartite Spin Glass

    • Free pre-print version: Loading...

      Abstract: Abstract Auffinger and Chen (J Stat Phys 157:40–59, 2014) proved a variational formula for the free energy of the spherical bipartite spin glass in terms of a global minimum over the overlaps. We show that a different optimisation procedure leads to a saddle point, similar to the one achieved for models on the vertices of the hypercube.
      PubDate: 2022-05-03
       
  • Box and Ball System with Numbered Boxes

    • Free pre-print version: Loading...

      Abstract: Abstract The box and ball system (BBS) models the dynamics of balls moving among an array of boxes. The simplest BBS is derived from the ultradiscretization of the discrete Toda equation, which is one of the most famous discrete integrable systems. The discrete Toda equation can be extended to two types of discrete hungry Toda (dhToda) equations, one of which is the equation of motion of the BBS with numbered balls (nBBS). In this paper, based on the ultradiscretization of the other type of dhToda equation, we present a new nBBS in which not balls, but boxes, are numbered. We also investigate conserved quantities with respect to balls and boxes, the solitonical nature of ball motions, and a scattering rule in collisions of balls to clarify the characteristics of the resulting nBBS.
      PubDate: 2022-04-24
       
  • Bose–Einstein Condensation with Optimal Rate for Trapped Bosons in the
           Gross–Pitaevskii Regime

    • Free pre-print version: Loading...

      Abstract: Abstract We consider a Bose gas consisting of N particles in \({\mathbb {R}}^3\) , trapped by an external field and interacting through a two-body potential with scattering length of order \(N^{-1}\) . We prove that low energy states exhibit complete Bose–Einstein condensation with optimal rate, generalizing previous work in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018; 376:1311–1395, 2020), restricted to translation invariant systems. This extends recent results in Nam et al. (Preprint, 2001. arXiv:2001.04364), removing the smallness assumption on the size of the scattering length.
      PubDate: 2022-04-12
       
  • A $${\mathbb {Z}}_{2}$$ Z 2 -Topological Index for Quasi-Free Fermions

    • Free pre-print version: Loading...

      Abstract: Abstract We use infinite dimensional self-dual \(\mathrm {CAR}\) \(C^{*}\) -algebras to study a \({\mathbb {Z}}_{2}\) -index, which classifies free-fermion systems embedded on \({\mathbb {Z}}^{d}\) disordered lattices. Combes–Thomas estimates are pivotal to show that the \({\mathbb {Z}}_{2}\) -index is uniform with respect to the size of the system. We additionally deal with the set of ground states to completely describe the mathematical structure of the underlying system. Furthermore, the weak \(^{*}\) -topology of the set of linear functionals is used to analyze paths connecting different sets of ground states.
      PubDate: 2022-03-14
      DOI: 10.1007/s11040-022-09421-w
       
  • Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued
           $$L\!\log \!L$$ L log L -Orlicz Potentials

    • Free pre-print version: Loading...

      Abstract: Abstract Thanks to the Birman-Schwinger principle, Weyl’s laws for Birman-Schwinger operators yields semiclassical Weyl’s laws for the corresponding Schrödinger operators. In a recent preprint Rozenblum established quite general Weyl’s laws for Birman-Schwinger operators associated with pseudodifferential operators of critical order and potentials that are product of \(L\!\log \!L\) -Orlicz functions and Alfhors-regular measures supported on a submanifold. In this paper, we show that, for matrix-valued \(L\!\log \!L\) -Orlicz potentials supported on the whole manifold, Rozenblum’s results are direct consequences of the Cwikel-type estimates on tori recently established by Sukochev–Zanin. As applications we obtain CLR-type inequalities and semiclassical Weyl’s laws for critical Schrödinger operators associated with matrix-valued \(L\!\log \!L\) -Orlicz potentials. Finally, we explain how the Weyl’s laws of this paper imply a strong version of Connes’ integration formula for matrix-valued \(L\!\log \!L\) -Orlicz potentials.
      PubDate: 2022-03-12
      DOI: 10.1007/s11040-022-09422-9
       
  • J-Trajectories in 4-Dimensional Solvable Lie Group $$\mathrm {Sol}_0^4$$
           Sol 0 4

    • Free pre-print version: Loading...

      Abstract: Abstract J-trajectories are arc length parameterized curves in almost Hermitian manifold which satisfy the equation \(\nabla _{{\dot{\gamma }}}{\dot{\gamma }}=q J {\dot{\gamma }}\) . In this paper J-trajectories in the solvable Lie group \(\mathrm {Sol}_0^4\) are investigated. The first and the second curvature of a non-geodesic J-trajectory in an arbitrary LCK manifold whose anti Lee field has constant length are examined. In particular, the curvatures of non-geodesic J-trajectories in \(\mathrm {Sol}_0^4\) are characterized.
      PubDate: 2022-03-06
      DOI: 10.1007/s11040-022-09418-5
       
  • Regularising Transformations for Complex Differential Equations with
           Movable Algebraic Singularities

    • Free pre-print version: Loading...

      Abstract: Abstract In a 1979 paper, Okamoto introduced the space of initial values for the six Painlevé equations and their associated Hamiltonian systems, showing that these define regular initial value problems at every point of an augmented phase space, a rational surface with certain exceptional divisors removed. We show that the construction of the space of initial values remains meaningful for certain classes of second-order complex differential equations, and more generally, Hamiltonian systems, where all movable singularities of all their solutions are algebraic poles (by some authors denoted the quasi-Painlevé property), which is a generalisation of the Painlevé property. The difference here is that the initial value problems obtained in the extended phase space become regular only after an additional change of dependent and independent variables. Constructing the analogue of space of initial values for these equations in this way also serves as an algorithm to single out, from a given class of equations or system of equations, those equations which are free from movable logarithmic branch points.
      PubDate: 2022-03-06
      DOI: 10.1007/s11040-022-09417-6
       
  • On Tsallis and Kaniadakis Divergences

    • Free pre-print version: Loading...

      Abstract: Abstract We study some properties concerning Tsallis and Kaniadakis divergences between two probability measures. More exactly, we prove the pseudo-additivity, non-negativity, monotonicity and find some bounds for the divergences mentioned above.
      PubDate: 2022-02-24
      DOI: 10.1007/s11040-022-09420-x
       
  • Factorization Problems on Rational Loop Groups, and the Poisson Geometry
           of Yang-Baxter Maps

    • Free pre-print version: Loading...

      Abstract: Abstract The study of set-theoretic solutions of the Yang-Baxter equation, also known as Yang-Baxter maps, is historically a meeting ground for various areas of mathematics and mathematical physics. In this work, we study factorization problems on rational loop groups, which give rise to Yang-Baxter maps on various geometrical objects. We also study the symplectic and Poisson geometry of these Yang-Baxter maps, which we show to be integrable maps in the sense of having natural collections of Poisson commuting integrals. In a special case, the factorization problems we consider are associated with the N-soliton collision process in the n-Manakov system, and in this context we show that the polarization scattering map is a symplectomorphism.
      PubDate: 2022-02-19
      DOI: 10.1007/s11040-022-09419-4
       
  • Involutions of Halphen Pencils of Index 2 and Discrete Integrable Systems

    • Free pre-print version: Loading...

      Abstract: Abstract We constructed involutions for a Halphen pencil of index 2, and proved that the birational mapping corresponding to the autonomous reduction of the elliptic Painlevé equation for the same pencil can be obtained as the composition of two such involutions.
      PubDate: 2022-02-05
      DOI: 10.1007/s11040-022-09416-7
       
  • Phase Transitions and Percolation at Criticality in Enhanced Random
           Connection Models

    • Free pre-print version: Loading...

      Abstract: Abstract We study phase transition and percolation at criticality for three random graph models on the plane, viz., the homogeneous and inhomogeneous enhanced random connection models (RCM) and the Poisson stick model. These models are built on a homogeneous Poisson point process \(\mathcal {P}_{\lambda }\) in \(\mathbb {R}^{2}\) of intensity λ. In the homogeneous RCM, the vertices at x,y are connected with probability g( x − y ), independent of everything else, where \(g:[0,\infty ) \to [0,1]\) and ⋅ is the Euclidean norm. In the inhomogeneous version of the model, points of \(\mathcal {P}_{\lambda }\) are endowed with weights that are non-negative independent random variables with distribution \(P(W>w)= w^{-\beta }1_{[1,\infty )}(w)\) , β > 0. Vertices located at x,y with weights Wx,Wy are connected with probability \(1 - \exp \left (- \frac {\eta W_{x}W_{y}}{ x-y ^{\alpha }} \right )\) , η,α > 0, independent of all else. The graphs are enhanced by considering the edges of the graph as straight line segments starting and ending at points of \(\mathcal {P}_{\lambda }\) . A path in the graph is a continuous curve that is a subset of the union of all these line segments. The Poisson stick model consists of line segments of independent random lengths and orientation with the mid point of each segment located at a distinct point of \(\mathcal {P}_{\lambda }\) . Intersecting lines form a path in the graph. A graph is said to percolate if there is an infinite connected component or path. We derive conditions for the existence of a phase transition and show that there is no percolation at criticality.
      PubDate: 2022-01-13
      DOI: 10.1007/s11040-021-09409-y
       
  • The BCS Critical Temperature at High Density

    • Free pre-print version: Loading...

      Abstract: Abstract We investigate the BCS critical temperature \(T_c\) in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of \(T_c\) at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.
      PubDate: 2022-01-11
      DOI: 10.1007/s11040-021-09415-0
       
  • Injective Tensor Products in Strict Deformation Quantization

    • Free pre-print version: Loading...

      Abstract: Abstract The aim of this paper is twofold. Firstly we provide necessary and sufficient criteria for the existence of a strict deformation quantization of algebraic tensor products of Poisson algebras, and secondly we discuss the existence of products of KMS states. As an application, we discuss the correspondence between quantum and classical Hamiltonians in spin systems and we provide a relation between the resolvent of Schödinger operators for non-interacting many particle systems and quantization maps.
      PubDate: 2021-12-24
      DOI: 10.1007/s11040-021-09414-1
       
  • Stem and topological entropy on Cayley trees

    • Free pre-print version: Loading...

      Abstract: Abstract We consider the existence of the topological entropy of shift spaces on a finitely generated semigroup whose Cayley graph is a tree. The considered semigroups include free groups. On the other hand, the notion of stem entropy is introduced. For shift spaces on a strict free semigroup, the stem entropy coincides with the topological entropy. We reveal a sufficient condition for the existence of the stem entropy of shift spaces on a semigroup. Furthermore, we demonstrate that the topological entropy exists in many cases and is identical to the stem entropy.
      PubDate: 2021-12-22
      DOI: 10.1007/s11040-021-09411-4
       
  • How One can Repair Non-integrable Kahan Discretizations. II. A Planar
           System with Invariant Curves of Degree 6

    • Free pre-print version: Loading...

      Abstract: Abstract We find a novel one-parameter family of integrable quadratic Cremona maps of the plane preserving a pencil of curves of degree 6 and of genus 1. They turn out to serve as Kahan-type discretizations of a novel family of quadratic vector fields possessing a polynomial integral of degree 6 whose level curves are of genus 1, as well. These vector fields are non-homogeneous generalizations of reduced Nahm systems for magnetic monopoles with icosahedral symmetry, introduced by Hitchin, Manton and Murray. The straightforward Kahan discretization of these novel non-homogeneous systems is non-integrable. However, this drawback is repaired by introducing adjustments of order \(O(\epsilon ^2)\) in the coefficients of the discretization, where \(\epsilon \) is the stepsize.
      PubDate: 2021-11-28
      DOI: 10.1007/s11040-021-09413-2
       
  • A Lax Formulation of a Generalized q-Garnier System

    • Free pre-print version: Loading...

      Abstract: Abstract Recently, a birational representation of an extended affine Weyl group of type \(A_{mn-1}^{(1)}\times A_{m-1}^{(1)}\times A_{m-1}^{(1)}\) was proposed with the aid of a cluster mutation. In this article we formulate this representation in a framework of a system of q-difference equations with \(mn\times mn\) matrices. This formulation is called a Lax form and is used to derive a generalization of the q-Garnier system.
      PubDate: 2021-11-27
      DOI: 10.1007/s11040-021-09412-3
       
  • Iterated Foldings of Discrete Spaces and Their Limits: Candidates for the
           Role of Brownian Map in Higher Dimensions

    • Free pre-print version: Loading...

      Abstract: Abstract In this last decade, an important stochastic model emerged: the Brownian map. It is the limit of various models of random combinatorial maps after rescaling: it is a random metric space with Hausdorff dimension 4, almost surely homeomorphic to the 2-sphere, and possesses some deep connections with Liouville quantum gravity in 2D. In this paper, we present a sequence of random objects that we call \(D\hbox {th}\) -random feuilletages (denoted by \(\mathbf{r}[{D}]\) ), indexed by a parameter \(D\ge 0\) and which are candidate to play the role of the Brownian map in dimension D. The construction relies on some objects that we name iterated Brownian snakes, which are branching analogues of iterated Brownian motions, and which are moreover limits of iterated discrete snakes. In the planar \(D=2\) case, the family of discrete snakes considered coincides with some family of (random) labeled trees known to encode planar quadrangulations. Iterating snakes provides a sequence of random trees \((\mathbf{t}^{(j)}, j\ge 1)\) . The \(D\hbox {th}\) -random feuilletage \(\mathbf{r}[{D}]\) is built using \((\mathbf{t}^{(1)},\ldots ,\mathbf{t}^{(D)})\) : \(\mathbf{r}[{0}]\) is a deterministic circle, \(\mathbf{r}[{1}]\) is Aldous’ continuum random tree, \(\mathbf{r}[{2}]\) is the Brownian map, and somehow, \(\mathbf{r}[{D}]\) is obtained by quotienting \(\mathbf{t}^{(D)}\) by \(\mathbf{r}[{D-1}]\) . A discrete counterpart to \(\mathbf{r}[{D}]\) is introduced and called the \(D\) th random discrete feuilletage with \(n+D\) nodes ( \(\mathbf{R}_{n}[D]\) ). The proof of the convergence of \(\mathbf{R}_{n}[D]\) to \(\mathbf{r}[{D}]\) after appropriate rescaling in some functional space is provided (however, the convergence obtained is too weak to imply the Gromov-Hausdorff convergence). An upper bound on the diameter of \(\mathbf{R}_{n}[D]\) is \(n^{1/2^{D}}\) . Some elements allowing to conjecture that the Hausdorff dimension of \(\mathbf{r}[{D}]\) is \(2^D\) are given.
      PubDate: 2021-11-27
      DOI: 10.1007/s11040-021-09410-5
       
  • Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals

    • Free pre-print version: Loading...

      Abstract: Abstract We describe the construction of CMC surfaces with symmetries in \(\mathbb {S}^{3}\) and \(\mathbb {R}^{3}\) using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized Weierstrass representation using a geometric flow on the space of potentials.
      PubDate: 2021-11-06
      DOI: 10.1007/s11040-021-09397-z
       
  • Sharpness of the Phase Transition for the Orthant Model

    • Free pre-print version: Loading...

      Abstract: Abstract The orthant model is a directed percolation model on \(\mathbb {Z}^{d}\) , in which all clusters are infinite. We prove a sharp threshold result for this model: if p is larger than the critical value above which the cluster of 0 is contained in a cone, then the shift from 0 that is required to contain the cluster of 0 in that cone is exponentially small. As a consequence, above this critical threshold, a shape theorem holds for the cluster of 0, as well as ballisticity of the random walk on this cluster.
      PubDate: 2021-10-15
      DOI: 10.1007/s11040-021-09408-z
       
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
 


Your IP address: 44.200.74.241
 
Home (Search)
API
About JournalTOCs
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-