Subjects -> MATHEMATICS (Total: 1118 journals)     - APPLIED MATHEMATICS (92 journals)    - GEOMETRY AND TOPOLOGY (23 journals)    - MATHEMATICS (819 journals)    - MATHEMATICS (GENERAL) (45 journals)    - NUMERICAL ANALYSIS (26 journals)    - PROBABILITIES AND MATH STATISTICS (113 journals) MATHEMATICS (819 journals)                  1 2 3 4 5 | Last

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 Annals of MathematicsJournal Prestige (SJR): 10.923 Citation Impact (citeScore): 5Number of Followers: 4      Subscription journal ISSN (Print) 0003-486X Published by Princeton University Press  [1 journal]
• Measures of maximal entropy for surface diffeomorphisms

Authors: mak
Abstract: We show that $C^\infty$ surface diffeomoprhisms with positive topological entropy have at most finitely many ergodic measures of maximal entropy in general, and at most one in the topologically transitive case. This answers a question of Newhouse, who proved that … Continue reading →
PubDate: Tue, 12 Oct 2021 22:18:35 +000

• Erratum: A corrected proof of the Scale Recurrence Lemma from the paper
“Stable intersections of regular Cantor sets with large Hausdorff
dimensions” by C. G. Moreira and J. C. Yoccoz

Authors: mak
Abstract: This is an erratum for the paper “Stable Intersections of Regular Cantor Sets with Large Hausdorff Dimensions” by Moreira and Yoccoz. We show how to fix a flaw – a bad choice of parameters – in the proof of the … Continue reading →
PubDate: Tue, 12 Oct 2021 03:49:57 +000

• Lebesgue measure of Feigenbaum Julia sets

Authors: mak
Abstract: We construct Feigenbaum quadratic-like maps with a Julia set of positive Lebesgue measure. Indeed, in the quadratic family $P_c: z \mapsto z^2+c$ the corresponding set of parameters $c$ is shown to have positive Hausdorff dimension. Our examples include renormalization fixed … Continue reading →
PubDate: Mon, 11 Oct 2021 18:43:08 +000

• Keel’s base point free theorem and quotients in mixed characteristic

Authors: mak
Abstract: We develop techniques of mimicking the Frobenius action in the study of universal homeomorphisms in mixed characteristic. As a consequence, we show a mixed characteristic Keel’s base point free theorem obtaining applications towards the mixed characteristic Minimal Model Program, we … Continue reading →
PubDate: Thu, 07 Oct 2021 15:12:59 +000

• The Chow $t$-structure on the $\infty$-category of motivic spectra

Authors: mak
Abstract: We define the Chow $t$-structure on the $\infty$-category of motivic spectra $\mathcal{S}\mathcal{H}(k)$ over an arbitrary base field $k$. We identify the heart of this $t$-structure $\mathcal{S}\mathcal{H}(k)^{c\heartsuit}$ when the exponential characteristic of $k$ is inverted. Restricting to the cellular subcategory, we … Continue reading →
PubDate: Thu, 07 Oct 2021 15:10:25 +000

• Equiangular lines with a fixed angle

Authors: mak
Abstract: Solving a longstanding problem on equiangular lines, we determine, for each given fixed angle and in all sufficiently large dimensions, the maximum number of lines pairwise separated by the given angle. Fix $0 < \alpha < 1$. Let $N_\alpha(d)$ denote … Continue reading →
PubDate: Thu, 07 Oct 2021 04:33:43 +000

• The Gaussian Double-Bubble and Multi-Bubble Conjectures

Authors: mak
Abstract: We establish the Gaussian Multi-Bubble Conjecture: the least Gaussian-weighted perimeter way to decompose $\Bbb{R}^n$ into $q$ cells of prescribed (positive) Gaussian measure when $2 \leq q \leq n+1$, is to use a “simplicial cluster”, obtained from the Voronoi cells of … Continue reading →
PubDate: Wed, 06 Oct 2021 18:49:02 +000

• Rough solutions of the 3-D compressible Euler equations

Authors: mak
Abstract: We prove the local-in-time well-posedness for the solution of the compressible Euler equations in $3$-D, for the Cauchy data of the velocity, density and vorticity $(v,\varrho, \mathscr{w}) \in H^s\times H^s\times H^{s’}$, $2 < s'< s$.  The result extends the  sharp … Continue reading →
PubDate: Tue, 05 Oct 2021 00:21:58 +000

• Infinitely many Lagrangian fillings

Authors: mak
Abstract: We prove that all maximal-tb positive Legendrian torus links $(n,m)$ in the standard contact 3-sphere, except for $(2,m)$, $(3,3),(3,4)$ and $(3,5)$, admit infinitely many Lagrangian fillings in the standard symplectic 4-ball. This is proven by constructing infinite order Lagrangian concordances … Continue reading →
PubDate: Wed, 22 Sep 2021 16:53:10 +000

• Polynomial structure of Gromov–Witten potential of quintic $3$-folds

Authors: mak
Abstract: We prove two structure theorems for the Gromov-Witten theory of the quintic threefolds, which together give an effective algorithm for the all genus Gromov-Witten potential functions of quintics. By using these structure theorems, we prove Yamaguchi-Yau’s Polynomial Ring Conjecture in … Continue reading →
PubDate: Fri, 17 Sep 2021 14:54:45 +000

• A non-hypergeometric $E$-function

Authors: mak
Abstract: We answer in the negative Siegel’s question whether all $E$-functions are polynomial expressions in hypergeometric $E$-functions. Namely, we show that if an irreducible differential operator of order three annihilates an $E$-function in the hypergeometric class, then the singularities of its … Continue reading →
PubDate: Tue, 14 Sep 2021 02:58:55 +000

• Affine Beilinson-Bernstein localization at the critical level for $GL_2$

Authors: mak
Abstract: We prove the rank 1 case of a conjecture of Frenkel-Gaitsgory: critical level Kac-Moody representations with regular central characters localize onto the affine Grassmannian. The method uses an analogue in local geometric Langlands of the existence of Whittaker models for … Continue reading →
PubDate: Tue, 14 Sep 2021 02:51:02 +000

• Improved bounds for the sunflower lemma

Authors: mak
Abstract: A sunflower with $r$ petals is a collection of $r$ sets so that the intersection of each pair is equal to the intersection of all of them. Erdős and Rado proved the sunflower lemma: for any fixed $r$, any family … Continue reading →
PubDate: Mon, 30 Aug 2021 16:39:01 +000

• Finite-time singularity formation for $C^{1,\alpha}$ solutions to the
incompressible Euler equations on $\mathbb{R}^3$

Authors: mak
Abstract: It has been known since work of Lichtenstein and Gunther in the 1920’s that the $3D$ incompressible Euler equation is locally well-posed in the class of velocity fields with Hölder continuous gradient and suitable decay at infinity. It is shown … Continue reading →
PubDate: Wed, 25 Aug 2021 03:49:44 +000

• A counterexample to the unit conjecture for group rings

Authors: mak
Abstract: The unit conjecture, commonly attributed to Kaplansky, predicts that if $K$ is a field and $G$ is a torsion-free group then the only units of the group ring $K[G]$ are the trivial units, that is, the non-zero scalar multiples of … Continue reading →
PubDate: Tue, 24 Aug 2021 02:15:06 +000

• Global regularity for the Monge-Ampère equation with natural boundary
condition

Authors: mak
Abstract: In this paper, we establish the global $C^{2,\alpha}$ and $W^{2,p}$ regularity for the Monge-Ampère equation $\det\, D^2u = f$ subject to boundary condition $Du(\Omega) = \Omega^*$, where $\Omega$ and $\Omega^*$ are bounded convex domains in the Euclidean space $\Bbb{R}^n$ with … Continue reading →
PubDate: Mon, 16 Aug 2021 18:29:26 +000

• Erratum: “Euclidean triangles have no hot spots”

Fri, 13 Aug 2021 22:15:43 +000

• Chow groups and $L$-derivatives of automorphic motives for unitary groups

Authors: mak
Abstract: In this article, we study the Chow group of the motive associated to a tempered global $L$-packet $\pi$ of unitary groups of even rank with respect to a CM extension, whose global root number is $-1$. We show that, under … Continue reading →
PubDate: Tue, 03 Aug 2021 04:08:23 +000

• Rubin’s conjecture on local units in the anticyclotomic tower at
inert primes

Authors: mak
Abstract: We prove a fundamental conjecture of Rubin on the structure of local units in the anticyclotomic $\mathbb{Z}_p$-extension of the unramified quadratic extension of $\mathbb{Q}_p$ for $p\geq 5$ a prime. Rubin’s conjecture underlies Iwasawa theory of the anticyclotomic deformation of a … Continue reading →
PubDate: Tue, 03 Aug 2021 04:02:02 +000

• The Hua operators on bounded symmetric domains of tube type

Thu, 22 Jul 2021 01:05:44 +000

• Special representations of reductive $p$-adic groups are not integrable

Thu, 22 Jul 2021 01:05:34 +000

• The torsion of the group of $0$-cycles modulo rational equivalence

Thu, 22 Jul 2021 01:05:27 +000

• Propagation of singularities for semilinear hyperbolic equations in one
space variable

Thu, 22 Jul 2021 01:05:21 +000

• Factorization of $A_p$ weights

Thu, 22 Jul 2021 01:05:00 +000

• A higher dimension generalization of the Sine-Gordon equation and its
soliton theory

Thu, 22 Jul 2021 01:04:50 +000

• Bäcklund’s theorem for $n$-dimensional submanifolds of
$\mathbb{R}^{2n-1}$

Thu, 22 Jul 2021 01:04:39 +000

• Lattices in spaces of nonpositive curvature

Thu, 22 Jul 2021 01:04:26 +000

• The classification of simply connected manifolds of positive scalar
curvature

Thu, 22 Jul 2021 01:04:12 +000

• On the one-sided Wiener’s theorem for the motion group

Thu, 22 Jul 2021 01:04:00 +000

• Correction to “A characterization of Chevalley groups over fields of
odd order”

Sat, 17 Jul 2021 04:45:37 +000

• On the fundamental group of the complement of a node curve

Sat, 17 Jul 2021 04:35:20 +000

• Automorphisms of trivalent graphs

Sat, 17 Jul 2021 04:35:13 +000

• The arithmetic of certain zeta functions and automorphic forms on
orthogonal groups

Sat, 17 Jul 2021 04:35:05 +000

• Discrete series for semisimple symmetric spaces

Sat, 17 Jul 2021 04:34:21 +000

• Twisted homological stability for general linear groups

Sat, 17 Jul 2021 04:34:10 +000

• Boundary values of absolutely convergent Taylor esries

Sat, 17 Jul 2021 04:33:58 +000

• Spin and scalar curvature in the presence of a fundamental group. I

Sat, 17 Jul 2021 04:33:42 +000

• Carleson measures and the Fefferman-Stein decomposition of
BMO$(\mathbb{R})$

Sat, 17 Jul 2021 04:33:31 +000

• Polycyclic groups with isomorphic finite quotients

Sat, 10 Jul 2021 03:40:02 +000

• Bernstein’s inequality in $L^p$ for $0 < p < 1$ and $(C,1)$ bounds for
orthogonal polynomials

Authors: mak
Abstract: Using an integral inequality, contributions are made towards the solutions of two long open problems. The first one concerns the determination of the best constant $C(p)$ in Bernstein’s inequality \[ \int_0^{2\pi} |H_n'(t)|^p dt \leqq C(p)n^p \int_0^{2\pi} |H_n(t)|^p dt, \qquad 0 … Continue reading →
PubDate: Sat, 10 Jul 2021 03:39:55 +000

• Finite $H$-spaces and algebras over the Steenrod algebra

Sat, 10 Jul 2021 03:39:49 +000

• Disjoint triangular sets

Sat, 10 Jul 2021 03:39:43 +000

• One dimensional minimal sets and the Seifert conjecture

Sat, 10 Jul 2021 03:39:37 +000

• Classification of simplicial triangulations of topological manifolds

Sat, 10 Jul 2021 03:39:31 +000

• On certain zeta functions attached to two Hilbert modular forms. II. The
case of automorphic forms on a quaternion algebra

Sun, 04 Jul 2021 00:42:41 +000

• Spectral analysis of $N$-body Schrödinger operators

Sun, 04 Jul 2021 00:42:30 +000

• Quasi-conformal modifications of functions having deficiency sum two

Sun, 04 Jul 2021 00:42:15 +000

• Variétés polaires locales et classes de Chern des
variétés sungulières

Sun, 04 Jul 2021 00:41:55 +000

• The embedding of $2$-locals in finite groups of characteristic $2$-type.
II

Sun, 04 Jul 2021 00:41:24 +000

• The embedding of $2$-locals in finite groups of characteristic $2$-type. I

Sun, 04 Jul 2021 00:41:00 +000

• The Syzygy problem

Sun, 04 Jul 2021 00:40:44 +000

• Rational surfaces with an anti-canonical cycle

Sun, 04 Jul 2021 00:40:32 +000

• Algebraic $K$-theory and classfield theory for arithmetic surfaces

Sun, 04 Jul 2021 00:40:17 +000

• An ordinal $L^p$-index for Banach spaces, with application to complemented
subspaces of $L^p$

Sun, 04 Jul 2021 00:40:02 +000

• A defect relation for quasimeromorphic mapings

Thu, 01 Jul 2021 03:15:12 +000

• On certain zeta functions attached to two Hilbert modular forms. I. The
case of Hecke characters

Thu, 01 Jul 2021 03:15:02 +000

• Weak type $L^1$ estimates for maximal functions on non-compact symmetric
spaces

Thu, 01 Jul 2021 03:14:51 +000

• Biholomorphic mappings and the $\overline\partial$-problem

Thu, 01 Jul 2021 03:13:44 +000

• Abelian varieties with complex multiplication and representations of the
Weil groups

Thu, 01 Jul 2021 03:13:23 +000

• Compact ergodic groups of automorphisms

Authors: mak
Abstract: It is shown that if $G$ is a compact ergodic group of $\ast$-automorphisms on a unital $C^\ast$-algebra $A$ then the unique $G$-invariant state is a trace. Hence if $A$ is a von Neumann algebra then it is finite and injective.
PubDate: Thu, 01 Jul 2021 03:13:15 +000

• The trace formula in invariant form

Thu, 01 Jul 2021 03:13:07 +000

• Finite $H$-spaces and algebras over the Steenrod algebra; a correction

Sun, 27 Jun 2021 05:30:17 +000

• A remark on the preceding paper

Sun, 27 Jun 2021 05:30:05 +000

• Hardy’s inequality and the $L^1$-norm of exponential sums

Sun, 27 Jun 2021 05:29:49 +000

• Weak-$L^\infty$ and BMO

Sun, 27 Jun 2021 05:29:38 +000

• The action of complex conjugation on a Shimura variety

Sun, 27 Jun 2021 05:29:26 +000

• On the order of uniprimitive premutation groups

Sun, 27 Jun 2021 05:28:52 +000

• Knots, links, and symbolic dynamics

Sun, 27 Jun 2021 05:28:41 +000

• The Goldbillon-Vey classes of codimension one foliations which are almost
without holonomy

Sun, 27 Jun 2021 05:28:28 +000

• On the convergence of formal equivalence between embeddings

Sun, 27 Jun 2021 05:28:10 +000

• The index theorem for classical minimal surfaces

Sun, 27 Jun 2021 05:28:02 +000

• The topology of real algebraic sets with isolated singularities

Sun, 27 Jun 2021 05:27:54 +000

• Erratum to “Study of a model in the theory of complexes of
pseudodifferential operators”

Sun, 27 Jun 2021 03:10:57 +000

• A property of the functions and distributions annihilated by a locally
integrable system of complex vector fields

Sun, 27 Jun 2021 03:10:48 +000

• Editor’s Note: The differentiability of functions in $\mathbf{R}^n$

Authors: mak
Abstract: Editor’s note
PubDate: Sun, 27 Jun 2021 03:10:38 +000

• The Dirichlet problem in non-smooth domains

Sun, 27 Jun 2021 03:10:26 +000

• An exotic free involution on $S^4$

Sun, 27 Jun 2021 03:10:13 +000

• Non-linear similarity

Sun, 27 Jun 2021 03:10:05 +000

• Rapidly growing Ramsey functions

Sun, 27 Jun 2021 03:09:58 +000

• On the radial behavior of minimal surfaces and the uniqueness of their
tangent cones

Sun, 27 Jun 2021 03:09:50 +000

• The Gauss map of a complete non-flat minimal surface cannot omit $7$
points of the sphere

Thu, 24 Jun 2021 16:36:59 +000

• On Novikov’s conjecture for non-positively curved manifolds. I

Thu, 24 Jun 2021 16:36:49 +000

• $K$-theory for certain $C^\ast$-algebras

Thu, 24 Jun 2021 16:36:38 +000

• Bernoulli diffeomorphisms and group extensions of dynamical systems with
non-zero characteristic exponents

Thu, 24 Jun 2021 16:36:27 +000

• Arithmetic properties of power series solutions of algebraic differential
equations

Thu, 24 Jun 2021 16:36:19 +000

• Kohn-Rossi cohomology and its application to the complex Plateau problem.
I

Thu, 24 Jun 2021 16:36:11 +000

• Degeneration of surfaces with trivial canonical bundle

Thu, 24 Jun 2021 16:36:05 +000

• Negative solutions to Post’s problem. II

Thu, 24 Jun 2021 16:35:59 +000

• The existence of minimal immersions of $2$-spheres

Thu, 24 Jun 2021 16:35:52 +000

• Embedded minimal surfaces, exotic spheres, and manifolds with positive
Ricci curvature

Tue, 22 Jun 2021 20:37:04 +000

• A note on the paper “A counterexample to a conjecture of
Serre”

Tue, 22 Jun 2021 20:35:56 +000

• Laminated lattices

Authors: mak
Abstract: Start with the $1$-dimensional lattice $\Lambda_1$ of even integer points: at the $n$-th step stack layers of a suitable $(n-1)$-dimensional lattice $\Lambda_{n-1}$ as densely as possible, keeping the same minimal norm; the result is a laminated lattice $\Lambda_n$. In this … Continue reading →
PubDate: Tue, 22 Jun 2021 20:35:49 +000

• Algebraic cycles and vector bundles over affine three-folds

Tue, 22 Jun 2021 20:35:40 +000

• Propagation of analyticity for a class of non-micro-characteristic
operator

Tue, 22 Jun 2021 20:35:32 +000

• Composite differentiable functions

Tue, 22 Jun 2021 20:35:11 +000

• An ergodic closing lemma

Tue, 22 Jun 2021 20:35:04 +000

• Appendix on tensor products

Authors: mak
Abstract: The material in this appendix is a supplement to the paper [31], and we follow the notation of that paper. However, we shall restrict attention to connected semisimple Lie groups $G$ having a faithful matrix representation. The Lie algebra of … Continue reading →
PubDate: Tue, 22 Jun 2021 20:34:57 +000

• Classification of irreducible tempered representations of semisimple
groups.Part II.

Tue, 22 Jun 2021 20:34:48 +000

• Universal optimality of the $E_8$ and Leech lattices and interpolation
formulas

Authors: mak
Abstract: We prove that the $E_8$ root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions $8$ and $24$, respectively. In other words, they minimize energy for every potential function that is a completely … Continue reading →
PubDate: Thu, 01 Apr 2021 02:31:55 +000

• Weil representation and Arithmetic Fundamental Lemma

Abstract: We study a partially linearized version of the relative trace formula for the arithmetic Gan–Gross–Prasad conjecture for the unitary group $\mathrm {U}(V)$. The linear factor in this relative trace formula provides an $\mathrm {SL}_2$-symmetry which allows us to prove by … Continue reading →
PubDate: Fri, 05 Mar 2021 00:00:00 +000

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