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Publisher: Cambridge University Press   (Total: 387 journals)

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Showing 1 - 200 of 387 Journals sorted alphabetically
Acta Neuropsychiatrica     Hybrid Journal   (Followers: 6, SJR: 0.733, CiteScore: 2)
Acta Numerica     Hybrid Journal   (Followers: 5, SJR: 6.709, CiteScore: 10)
Advances in Animal Biosciences     Full-text available via subscription   (Followers: 14)
Advances in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 2, SJR: 0.441, CiteScore: 1)
Aeronautical J., The     Hybrid Journal   (Followers: 7)
Africa     Hybrid Journal   (Followers: 20, SJR: 0.582, CiteScore: 1)
African Studies Review     Full-text available via subscription   (Followers: 20, SJR: 0.437, CiteScore: 1)
Ageing & Society     Hybrid Journal   (Followers: 44, SJR: 0.756, CiteScore: 2)
Agricultural and Resource Economics Review     Open Access   (Followers: 6, SJR: 0.414, CiteScore: 1)
AI EDAM     Hybrid Journal   (Followers: 2, SJR: 0.375, CiteScore: 1)
AJIL Unbound     Open Access  
AJS Review     Full-text available via subscription   (Followers: 4, SJR: 0.128, CiteScore: 0)
American Political Science Review     Hybrid Journal   (Followers: 319, SJR: 5.587, CiteScore: 4)
Anatolian Studies     Full-text available via subscription   (Followers: 5, SJR: 0.528, CiteScore: 1)
Ancient Mesoamerica     Hybrid Journal   (Followers: 12, SJR: 0.478, CiteScore: 1)
Anglo-Saxon England     Hybrid Journal   (Followers: 36, SJR: 0.1, CiteScore: 0)
animal     Hybrid Journal   (Followers: 3, SJR: 0.842, CiteScore: 2)
Animal Health Research Reviews     Hybrid Journal   (Followers: 3, SJR: 0.69, CiteScore: 2)
Animal Science     Full-text available via subscription   (Followers: 11)
Annals of Actuarial Science     Full-text available via subscription   (Followers: 1)
Annual of the British School at Athens     Full-text available via subscription   (Followers: 17, SJR: 0.177, CiteScore: 0)
Annual Review of Applied Linguistics     Hybrid Journal   (Followers: 43, SJR: 3.223, CiteScore: 4)
Antarctic Science     Hybrid Journal   (Followers: 1, SJR: 0.643, CiteScore: 1)
Antichthon     Full-text available via subscription   (Followers: 3, SJR: 0.101, CiteScore: 0)
Antiquaries J., The     Full-text available via subscription   (Followers: 12, SJR: 0.106, CiteScore: 0)
Antiquity     Hybrid Journal   (Followers: 33)
ANZIAM J.     Open Access   (Followers: 1, SJR: 0.216, CiteScore: 0)
Applied Psycholinguistics     Hybrid Journal   (Followers: 25, SJR: 0.945, CiteScore: 2)
APSIPA Transactions on Signal and Information Processing     Open Access   (Followers: 9, SJR: 0.404, CiteScore: 2)
Arabic Sciences and Philosophy     Hybrid Journal   (Followers: 9, SJR: 0.101, CiteScore: 0)
Arbor Clinical Nutrition Updates     Full-text available via subscription   (Followers: 5)
Archaeological Dialogues     Hybrid Journal   (Followers: 38, SJR: 0.898, CiteScore: 1)
Archaeological Reports     Full-text available via subscription   (Followers: 5, SJR: 0.128, CiteScore: 0)
Architectural History     Full-text available via subscription  
arq: Architectural Research Quarterly     Hybrid Journal   (Followers: 7, SJR: 0.123, CiteScore: 0)
Art Libraries J.     Full-text available via subscription  
Asian J. of Comparative Law     Hybrid Journal   (Followers: 11, SJR: 0.129, CiteScore: 0)
Asian J. of Intl. Law     Hybrid Journal   (Followers: 18, SJR: 0.135, CiteScore: 0)
Asian J. of Law and Society     Hybrid Journal   (Followers: 7, SJR: 0.195, CiteScore: 0)
Astin Bulletin     Full-text available via subscription   (Followers: 1, SJR: 0.878, CiteScore: 1)
Australasian J. of Organisational Psychology     Hybrid Journal   (Followers: 9, SJR: 0.154, CiteScore: 1)
Australian J. of Environmental Education     Full-text available via subscription   (Followers: 9, SJR: 0.403, CiteScore: 1)
Australian J. of Indigenous Education, The     Full-text available via subscription   (Followers: 10, SJR: 0.26, CiteScore: 1)
Australian J. of Rehabilitation Counseling     Full-text available via subscription   (Followers: 6, SJR: 0.144, CiteScore: 0)
Austrian History Yearbook     Full-text available via subscription   (Followers: 11, SJR: 0.161, CiteScore: 0)
Behavioral and Brain Sciences     Hybrid Journal   (Followers: 39, SJR: 0.595, CiteScore: 1)
Behaviour Change     Full-text available via subscription   (Followers: 13, SJR: 0.508, CiteScore: 1)
Behavioural and Cognitive Psychotherapy     Hybrid Journal   (Followers: 180, SJR: 0.976, CiteScore: 2)
Bilingualism: Language and Cognition     Hybrid Journal   (Followers: 42, SJR: 1.446, CiteScore: 2)
Biofilms     Full-text available via subscription   (Followers: 1)
Bird Conservation Intl.     Hybrid Journal   (Followers: 25, SJR: 0.581, CiteScore: 1)
BJPsych Advances     Full-text available via subscription   (Followers: 57, SJR: 0.275, CiteScore: 0)
BJPsych Intl.     Open Access   (Followers: 2)
BJPsych Open     Open Access   (Followers: 3)
Brain Impairment     Full-text available via subscription   (Followers: 2, SJR: 0.321, CiteScore: 1)
Breast Cancer Online     Full-text available via subscription   (Followers: 4)
Britannia     Full-text available via subscription   (Followers: 11, SJR: 0.111, CiteScore: 0)
British Actuarial J.     Full-text available via subscription  
British Catholic History     Hybrid Journal   (Followers: 2, SJR: 0.133, CiteScore: 1)
British J. for the History of Science     Hybrid Journal   (Followers: 24, SJR: 0.235, CiteScore: 0)
British J. of Anaesthetic and Recovery Nursing     Full-text available via subscription   (Followers: 8)
British J. of Music Education     Hybrid Journal   (Followers: 24, SJR: 0.564, CiteScore: 1)
British J. Of Nutrition     Hybrid Journal   (Followers: 90, SJR: 1.612, CiteScore: 4)
British J. of Political Science     Hybrid Journal   (Followers: 215, SJR: 4.661, CiteScore: 4)
British J. of Psychiatry     Hybrid Journal   (Followers: 221, SJR: 2.844, CiteScore: 3)
Bulletin of Entomological Research     Hybrid Journal   (Followers: 13, SJR: 0.805, CiteScore: 2)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2, SJR: 0.555, CiteScore: 1)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2, SJR: 0.44, CiteScore: 0)
Bulletin of the School of Oriental and African Studies     Hybrid Journal   (Followers: 21, SJR: 0.146, CiteScore: 0)
Business and Human Rights J.     Full-text available via subscription   (Followers: 4, SJR: 0.536, CiteScore: 1)
Business Ethics Quarterly     Full-text available via subscription   (Followers: 18, SJR: 1.098, CiteScore: 2)
Business History Review     Hybrid Journal   (Followers: 16, SJR: 0.347, CiteScore: 1)
Cambridge Archaeological J.     Hybrid Journal   (Followers: 150, SJR: 1.121, CiteScore: 1)
Cambridge Classical J.     Full-text available via subscription   (Followers: 24, SJR: 0.101, CiteScore: 0)
Cambridge J. of Postcolonial Literary Inquiry     Hybrid Journal   (Followers: 7)
Cambridge Law J.     Hybrid Journal   (Followers: 199, SJR: 0.213, CiteScore: 0)
Cambridge Opera J.     Hybrid Journal   (Followers: 4, SJR: 0.14, CiteScore: 0)
Cambridge Quarterly of Healthcare Ethics     Hybrid Journal   (Followers: 11, SJR: 0.299, CiteScore: 1)
Cambridge Yearbook of European Legal Studies     Full-text available via subscription  
Camden Fifth Series     Full-text available via subscription   (Followers: 3)
Canadian Entomologist     Hybrid Journal   (Followers: 5, SJR: 0.482, CiteScore: 1)
Canadian J. of Emergency Medicine     Hybrid Journal   (Followers: 13, SJR: 0.624, CiteScore: 1)
Canadian J. of Law & Jurisprudence     Full-text available via subscription   (Followers: 11, SJR: 0.237, CiteScore: 0)
Canadian J. of Law and Society     Hybrid Journal   (Followers: 20, SJR: 0.259, CiteScore: 1)
Canadian J. of Mathematics / J. canadien de mathématiques     Hybrid Journal  
Canadian J. of Neurological Sciences     Full-text available via subscription   (SJR: 0.549, CiteScore: 1)
Canadian J. of Political Science/Revue canadienne de science politique     Full-text available via subscription   (Followers: 25, SJR: 0.385, CiteScore: 1)
Canadian J. on Aging     Hybrid Journal   (Followers: 13, SJR: 0.426, CiteScore: 1)
Canadian Mathematical Bulletin     Hybrid Journal  
Canadian Yearbook of Intl. Law / Annuaire canadien de droit international     Full-text available via subscription   (Followers: 3)
Cardiology in the Young     Hybrid Journal   (Followers: 34, SJR: 0.372, CiteScore: 1)
Central European History     Full-text available via subscription   (Followers: 32, SJR: 0.159, CiteScore: 0)
Children Australia     Partially Free   (Followers: 2, SJR: 0.255, CiteScore: 0)
China Quarterly     Hybrid Journal   (Followers: 52, SJR: 2.289, CiteScore: 3)
Chinese J. of Agricultural Biotechnology     Full-text available via subscription   (Followers: 4)
Church History : Studies in Christianity and Culture     Full-text available via subscription   (Followers: 75, SJR: 0.106, CiteScore: 0)
Classical Quarterly     Full-text available via subscription   (Followers: 35, SJR: 0.204, CiteScore: 0)
Classical Review     Full-text available via subscription   (Followers: 29)
CNS Spectrums     Hybrid Journal   (Followers: 3, SJR: 1.391, CiteScore: 3)
Cognitive Behaviour Therapist     Hybrid Journal   (Followers: 14)
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4, SJR: 0.839, CiteScore: 1)
Communications in Computational Physics     Full-text available via subscription   (Followers: 3, SJR: 1.048, CiteScore: 2)
Comparative Studies in Society and History     Full-text available via subscription   (Followers: 49, SJR: 0.585, CiteScore: 1)
Compositio Mathematica     Full-text available via subscription   (SJR: 3.139, CiteScore: 1)
Contemporary European History     Hybrid Journal   (Followers: 34, SJR: 0.263, CiteScore: 1)
Continuity and Change     Hybrid Journal   (Followers: 12, SJR: 0.107, CiteScore: 0)
Dance Research J.     Full-text available via subscription   (Followers: 15, SJR: 0.211, CiteScore: 0)
Development and Psychopathology     Hybrid Journal   (Followers: 9, SJR: 2.068, CiteScore: 4)
Dialogue Canadian Philosophical Review/Revue canadienne de philosophie     Full-text available via subscription   (Followers: 5, SJR: 0.156, CiteScore: 0)
Diamond Light Source Proceedings     Full-text available via subscription   (Followers: 1)
Disaster Medicine and Public Health Preparedness     Hybrid Journal   (Followers: 14, SJR: 0.471, CiteScore: 1)
Du Bois Review: Social Science Research on Race     Full-text available via subscription   (Followers: 10, SJR: 0.561, CiteScore: 1)
Early China     Hybrid Journal   (Followers: 3)
Early Music History     Hybrid Journal   (Followers: 9, SJR: 0.101, CiteScore: 0)
Earth and Environmental Science Transactions of the Royal Society of Edinburgh     Hybrid Journal   (Followers: 5)
East Asian J. on Applied Mathematics     Full-text available via subscription   (SJR: 0.418, CiteScore: 1)
Ecclesiastical Law J.     Full-text available via subscription   (Followers: 6, SJR: 0.114, CiteScore: 0)
Econometric Theory     Hybrid Journal   (Followers: 18, SJR: 2.915, CiteScore: 1)
Economics and Philosophy     Hybrid Journal   (Followers: 18, SJR: 0.622, CiteScore: 1)
Edinburgh J. of Botany     Hybrid Journal   (SJR: 0.283, CiteScore: 1)
Educational and Developmental Psychologist     Full-text available via subscription   (Followers: 10, SJR: 0.146, CiteScore: 0)
Eighteenth-Century Music     Hybrid Journal   (Followers: 13, SJR: 0.113, CiteScore: 0)
English Language and Linguistics     Hybrid Journal   (Followers: 24, SJR: 0.52, CiteScore: 1)
English Profile J.     Hybrid Journal   (Followers: 2)
English Today     Hybrid Journal   (Followers: 13, SJR: 0.279, CiteScore: 0)
Enterprise & Society : The Intl. J. of Business History     Hybrid Journal   (Followers: 18, SJR: 0.245, CiteScore: 1)
Environment and Development Economics     Hybrid Journal   (Followers: 40, SJR: 0.617, CiteScore: 1)
Environmental Conservation     Hybrid Journal   (Followers: 60, SJR: 1.028, CiteScore: 2)
Environmental Practice     Full-text available via subscription   (Followers: 3, SJR: 0.145, CiteScore: 0)
Epidemiology & Infection     Hybrid Journal   (Followers: 18, SJR: 1.128, CiteScore: 2)
Epidemiology and Psychiatric Sciences     Hybrid Journal   (Followers: 3, SJR: 1.494, CiteScore: 2)
Episteme     Hybrid Journal   (Followers: 12, SJR: 0.756, CiteScore: 1)
Ergodic Theory and Dynamical Systems     Hybrid Journal   (Followers: 2, SJR: 1.193, CiteScore: 1)
Ethics & Intl. Affairs     Full-text available via subscription   (Followers: 17, SJR: 0.557, CiteScore: 1)
European Constitutional Law Review (EuConst)     Full-text available via subscription   (Followers: 35, SJR: 1.009, CiteScore: 1)
European J. of Applied Mathematics     Hybrid Journal   (SJR: 0.52, CiteScore: 1)
European J. of Intl. Security     Hybrid Journal   (Followers: 1)
European J. of Sociology     Hybrid Journal   (Followers: 36, SJR: 0.643, CiteScore: 1)
European Political Science Review     Hybrid Journal   (Followers: 27, SJR: 1.816, CiteScore: 2)
European Review     Hybrid Journal   (Followers: 19, SJR: 0.131, CiteScore: 0)
Evolutionary Human Sciences     Open Access  
Experimental Agriculture     Hybrid Journal   (Followers: 14, SJR: 0.542, CiteScore: 1)
Expert Reviews in Molecular Medicine     Hybrid Journal   (Followers: 1, SJR: 1.647, CiteScore: 4)
Fetal and Maternal Medicine Review     Hybrid Journal   (Followers: 6)
Financial History Review     Full-text available via subscription   (Followers: 15, SJR: 0.238, CiteScore: 1)
Foreign Policy Bulletin     Hybrid Journal   (Followers: 6)
Forum of Mathematics, Pi     Open Access   (Followers: 1)
Forum of Mathematics, Sigma     Open Access   (Followers: 1)
Genetics Research     Hybrid Journal   (Followers: 4, SJR: 0.483, CiteScore: 1)
Geological Magazine     Hybrid Journal   (Followers: 16, SJR: 0.966, CiteScore: 2)
Glasgow Mathematical J.     Full-text available via subscription   (SJR: 0.604, CiteScore: 0)
Global Constitutionalism     Hybrid Journal   (Followers: 17)
Global Mental Health     Open Access   (Followers: 9)
Global Sustainability     Open Access  
Government and Opposition     Full-text available via subscription   (Followers: 24, SJR: 0.965, CiteScore: 2)
Greece & Rome     Partially Free   (Followers: 30, SJR: 0.113, CiteScore: 0)
Hague J. on the Rule of Law     Full-text available via subscription   (Followers: 15, SJR: 0.271, CiteScore: 1)
Harvard Theological Review     Full-text available via subscription   (Followers: 80, SJR: 0.165, CiteScore: 0)
Health Economics, Policy and Law     Hybrid Journal   (Followers: 29, SJR: 0.745, CiteScore: 1)
Hegel Bulletin     Full-text available via subscription   (Followers: 2)
High Power Laser Science and Engineering     Open Access   (Followers: 3, SJR: 0.901, CiteScore: 3)
Historical J.     Hybrid Journal   (Followers: 39, SJR: 0.247, CiteScore: 1)
History in Africa     Full-text available via subscription   (Followers: 9)
Horizons     Partially Free   (Followers: 1, SJR: 0.129, CiteScore: 0)
Industrial and Organizational Psychology     Hybrid Journal   (Followers: 27, SJR: 0.916, CiteScore: 1)
Infection Control and Hospital Epidemiology     Full-text available via subscription   (Followers: 41, SJR: 1.97, CiteScore: 3)
Intl. & Comparative Law Quarterly     Full-text available via subscription   (Followers: 251, SJR: 0.369, CiteScore: 1)
Intl. Annals of Criminology     Full-text available via subscription  
Intl. J. of Asian Studies     Hybrid Journal   (Followers: 13, SJR: 0.143, CiteScore: 0)
Intl. J. of Astrobiology     Hybrid Journal   (Followers: 4, SJR: 0.548, CiteScore: 1)
Intl. J. of Cultural Property     Full-text available via subscription   (Followers: 13, SJR: 0.253, CiteScore: 1)
Intl. J. of Disability Management Research     Full-text available via subscription   (Followers: 9, SJR: 0.105, CiteScore: 0)
Intl. J. of Law in Context     Hybrid Journal   (Followers: 17, SJR: 0.275, CiteScore: 1)
Intl. J. of Legal Information     Full-text available via subscription   (Followers: 343)
Intl. J. of Microwave and Wireless Technologies     Hybrid Journal   (Followers: 10, SJR: 0.184, CiteScore: 1)
Intl. J. of Middle East Studies     Hybrid Journal   (Followers: 72, SJR: 0.434, CiteScore: 0)
Intl. J. of Technology Assessment in Health Care     Hybrid Journal   (Followers: 14, SJR: 0.714, CiteScore: 1)
Intl. Labor and Working-Class History     Full-text available via subscription   (Followers: 14, SJR: 0.182, CiteScore: 0)
Intl. Organization     Full-text available via subscription   (Followers: 106, SJR: 8.527, CiteScore: 5)
Intl. Psychogeriatrics     Hybrid Journal   (Followers: 13, SJR: 1.048, CiteScore: 2)
Intl. Review of Social History     Full-text available via subscription   (Followers: 27, SJR: 0.315, CiteScore: 1)
Intl. Review of the Red Cross     Full-text available via subscription   (Followers: 13, SJR: 0.214, CiteScore: 0)
Intl. Theory: A J. of Intl. Politics, Law and Philosophy     Hybrid Journal   (Followers: 19, SJR: 2.293, CiteScore: 2)
Iraq     Full-text available via subscription   (Followers: 4)
Irish Historical Studies     Hybrid Journal   (Followers: 6, SJR: 0.103, CiteScore: 0)
Irish J. of Psychological Medicine     Hybrid Journal   (Followers: 2, SJR: 0.221, CiteScore: 0)
Israel Law Review     Hybrid Journal   (Followers: 2, SJR: 0.165, CiteScore: 0)
Italian Political Science Review / Rivista Italiana di Scienza Politica     Hybrid Journal  
Itinerario     Full-text available via subscription   (Followers: 11, SJR: 0.158, CiteScore: 0)
J. of African History     Hybrid Journal   (Followers: 21, SJR: 0.348, CiteScore: 1)
J. of African Law     Full-text available via subscription   (Followers: 3, SJR: 0.113, CiteScore: 0)
J. of Agricultural and Applied Economics     Open Access   (Followers: 2, SJR: 0.263, CiteScore: 1)
J. of Agricultural Science     Full-text available via subscription   (Followers: 8, SJR: 0.563, CiteScore: 1)
J. of American Studies     Hybrid Journal   (Followers: 20, SJR: 0.164, CiteScore: 0)
J. of Anglican Studies     Hybrid Journal   (Followers: 6, SJR: 0.101, CiteScore: 0)
J. of Applied Animal Nutrition     Hybrid Journal   (Followers: 4)
J. of Asian Studies     Full-text available via subscription   (Followers: 41, SJR: 0.591, CiteScore: 1)
J. of Benefit-Cost Analysis     Hybrid Journal   (Followers: 4)
J. of Biosocial Science     Hybrid Journal   (Followers: 4, SJR: 0.48, CiteScore: 1)
J. of British Studies     Full-text available via subscription   (Followers: 32, SJR: 0.246, CiteScore: 0)

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Similar Journals
Journal Cover
European Journal of Applied Mathematics
Journal Prestige (SJR): 0.52
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 0956-7925 - ISSN (Online) 1469-4425
Published by Cambridge University Press Homepage  [387 journals]
  • Editorial
    • Pages: 1039 - 1040
      Abstract: The mathematical theory of Optimal Transport (OT) is now one of the most visible and also most active fields in nonlinear analysis, with two Fieldsmedal winners Cedric Villani and Alessio Figalli among its protagonists. The origins of OT date back to the works of GaspardMonge in the 18th century and those of Leonid Kantorovich in the ’1940s. However, what is considered as the foundations of the modern theory have mostly been established in several ground-breaking works at the end of the 20th century: among the most prominent contributors, there is Yann Brenier, who characterized optimal transport in terms of connections with PDEs and hydrodynamics in the 1980’s; there is RobertMcCann, who introduced the powerful concept of displacement convexity in the 1990’s; there is Felix Otto, who demonstrated the implications of OT to nonlinear evolution equations around the millennium.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792519000147
      Issue No: Vol. 30, No. 6 (2019)
       
  • Minimal convex extensions and finite difference discretisation of the
           quadratic Monge–Kantorovich problem
    • Authors: JEAN-DAVID BENAMOU; VINCENT DUVAL
      Pages: 1041 - 1078
      Abstract: We present an adaptation of the Monge–Ampère (MA) lattice basis reduction scheme to the MA equation with second boundary value condition, provided the target is a convex set. This yields a fast adaptive method to numerically solve the optimal transport (OT) problem between two absolutely continuous measures, the second of which has convex support. The proposed numerical method actually captures a specific Brenier solution which is minimal in some sense. We prove the convergence of the method as the grid step size vanishes and show with numerical experiments that it is able to reproduce subtle properties of the OT problem.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000451
      Issue No: Vol. 30, No. 6 (2019)
       
  • Quantum entropic regularization of matrix-valued optimal transport
    • Authors: GABRIEL PEYRÉ; LÉNAÏC CHIZAT, FRANÇOIS-XAVIER VIALARD, JUSTIN SOLOMON
      Pages: 1079 - 1102
      Abstract: This article introduces a new notion of optimal transport (OT) between tensor fields, which are measures whose values are positive semidefinite (PSD) matrices. This “quantum” formulation of optimal transport (Q-OT) corresponds to a relaxed version of the classical Kantorovich transport problem, where the fidelity between the input PSD-valued measures is captured using the geometry of the Von-Neumann quantum entropy. We propose a quantum-entropic regularization of the resulting convex optimization problem, which can be solved efficiently using an iterative scaling algorithm. This method is a generalization of the celebrated Sinkhorn algorithm to the quantum setting of PSD matrices. We extend this formulation and the quantum Sinkhorn algorithm to compute barycentres within a collection of input tensor fields. We illustrate the usefulness of the proposed approach on applications to procedural noise generation, anisotropic meshing, diffusion tensor imaging and spectral texture synthesis.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792517000274
      Issue No: Vol. 30, No. 6 (2019)
       
  • Displacement convexity for the entropy in semi-discrete non-linear
           Fokker–Planck equations
    • Authors: JOSÉ A. CARRILLO; ANSGAR JÜNGEL, MATHEUS C. SANTOS
      Pages: 1103 - 1122
      Abstract: The displacement λ-convexity of a non-standard entropy with respect to a non-local transportation metric in finite state spaces is shown using a gradient flow approach. The constant λ is computed explicitly in terms of a priori estimates of the solution to a finite-difference approximation of a non-linear Fokker–Planck equation. The key idea is to employ a new mean function, which defines the Onsager operator in the gradient flow formulation.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792517000389
      Issue No: Vol. 30, No. 6 (2019)
       
  • Simulation of multiphase porous media flows with minimising movement and
           finite volume schemes
    • Authors: CLÉMENT CANCÈS; THOMAS GALLOUËT, MAXIME LABORDE, LÉONARD MONSAINGEON
      Pages: 1123 - 1152
      Abstract: The Wasserstein gradient flow structure of the partial differential equation system governing multiphase flows in porous media was recently highlighted in Cancès et al. [Anal. PDE10(8), 1845–1876]. The model can thus be approximated by means of the minimising movement (or JKO after Jordan, Kinderlehrer and Otto [SIAM J. Math. Anal.29(1), 1–17]) scheme that we solve thanks to the ALG2-JKO scheme proposed in Benamou et al. [ESAIM Proc. Surv.57, 1–17]. The numerical results are compared to a classical upstream mobility finite volume scheme, for which strong stability properties can be established.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000633
      Issue No: Vol. 30, No. 6 (2019)
       
  • Mean-field optimal control as Gamma-limit of finite agent controls
    • Authors: M. FORNASIER; S. LISINI, C. ORRIERI, G. SAVARÉ
      Pages: 1153 - 1186
      Abstract: This paper focuses on the role of a government of a large population of interacting agents as a meanfield optimal control problem derived from deterministic finite agent dynamics. The control problems are constrained by a Partial Differential Equation of continuity-type without diffusion, governing the dynamics of the probability distribution of the agent population. We derive existence of optimal controls in a measure-theoretical setting as natural limits of finite agent optimal controls without any assumption on the regularity of control competitors. In particular, we prove the consistency of mean-field optimal controls with corresponding underlying finite agent ones. The results follow from a Γ -convergence argument constructed over the mean-field limit, which stems from leveraging the superposition principle.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792519000044
      Issue No: Vol. 30, No. 6 (2019)
       
  • A measure theoretic approach to traffic flow optimisation on networks
    • Authors: SIMONE CACACE; FABIO CAMILLI, RAUL DE MAIO, ANDREA TOSIN
      Pages: 1187 - 1209
      Abstract: We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective is to minimise/maximise macroscopic quantities, such as traffic volume or average speed, controlling few agents, e.g. smart traffic lights and automated cars. The measure theoretic approach allows to study in a same setting local and non-local drivers interactions and to consider the control variables as additional measures interacting with the drivers distribution. We also propose a gradient descent adjoint-based optimisation method, obtained by deriving first-order optimality conditions for the control problem, and we provide some numerical experiments in the case of smart traffic lights for a 2–1 junction.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000621
      Issue No: Vol. 30, No. 6 (2019)
       
  • c-cyclical+monotonicity+for+optimal+transport+problem+with+Coulomb+cost&rft.title=European+Journal+of+Applied+Mathematics&rft.issn=0956-7925&rft.date=2019&rft.volume=30&rft.spage=1210&rft.epage=1219&rft.aulast=PASCALE&rft.aufirst=LUIGI&rft.au=LUIGI+DE+PASCALE&rft_id=info:doi/10.1017/S0956792519000111">On c-cyclical monotonicity for optimal transport problem with Coulomb cost
    • Authors: LUIGI DE PASCALE
      Pages: 1210 - 1219
      Abstract: It is proved that c-cyclical monotonicity is a sufficient condition for optimality in the multi-marginal optimal transport problem with Coulomb repulsive cost. The notion of c-splitting set and some mild regularity property are the tools. The result may be extended to Coulomb like costs.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792519000111
      Issue No: Vol. 30, No. 6 (2019)
       
  • Transition to nestedness in multi- to one-dimensional optimal transport
    • Authors: PIERRE-ANDRÉ CHIAPPORI; ROBERT MCCANN, BRENDAN PASS
      Pages: 1220 - 1228
      Abstract: We study a one-parameter class of examples of optimal transport problems between a two-dimensional source and a one-dimensional target. Our earlier work identified a nestedness condition on the surplus function and marginals, under which it is possible to solve the problem semi-explicitly. In the family of examples we consider, we classify the values of parameters which lead to nestedness. In those cases, we derive an almost explicit characterisation of the solution.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000578
      Issue No: Vol. 30, No. 6 (2019)
       
  • A new class of costs for optimal transport planning
    • Authors: J.-J. ALIBERT; G. BOUCHITTÉ, T. CHAMPION
      Pages: 1229 - 1263
      Abstract: We study a class of optimal transport planning problems where the reference cost involves a non-linear function G(x, p) representing the transport cost between the Dirac measure δx and a target probability p. This allows to consider interesting models which favour multi-valued transport maps in contrast with the classical linear case ( $G(x,p)=\int c(x,y)dp$ ) where finding single-valued optimal transport is a key issue. We present an existence result and a general duality principle which apply to many examples. Moreover, under a suitable subadditivity condition, we derive a Kantorovich–Rubinstein version of the dual problem allowing to show existence in some regular cases. We also consider the well studied case of Martingale transport and present some new perspectives for the existence of dual solutions in connection with Γ-convergence theory.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000669
      Issue No: Vol. 30, No. 6 (2019)
       
  • Dynamic and stochastic propagation of the Brenier optimal mass transport
    • Authors: ALISTAIR BARTON; NASSIF GHOUSSOUB
      Pages: 1264 - 1299
      Abstract: Similar to how Hopf–Lax–Oleinik-type formula yield variational solutions for Hamilton–Jacobi equations on Euclidean space, optimal mass transportations can sometimes provide variational formulations for solutions of certain mean-field games. We investigate here the particular case of transports that maximize and minimize the following ‘ballistic’ cost functional on phase space TM, which propagates Brenier’s transport along a Lagrangian L, $$b_T(v, x):=\inf\left\{\langle v, \gamma (0)\rangle +\int_0^TL(t, \gamma (t), {\dot \gamma}(t))\, dt; \gamma \in C^1([0, T], M); \gamma(T)=x\right\}\!,$$ where $M = \mathbb{R}^d$ , and T >0. We also consider the stochastic counterpart: \begin{align*}\underline{B}_T^s(\mu,\nu):=\inf\left\{\mathbb{E}\left[\langle V,X_0\rangle +\int_0^T L(t, X,\beta(t,X))\,dt\right]\!; X\in \mathcal{A}, V\sim\mu,X_T\sim \nu\right\}\!,\end{align*} where $\mathcal{A}$ is the set of stochastic processes satisfying dX = βX (t, X) dt + dWt, for some drift βX (t, X), and where Wt is σ(Xs: 0 ≤ s ≤ t)-Brownian motion. Both cases lead to Lax–Oleinik-type formulas on Wasserstein space that relate optimal ballistic transports to those associated with dynamic fixed-end transports studied by Bernard–Buffoni and Fathi–Figalli in the deterministic case, and by Mikami–Thieullen in the stochastic setting. While inf-convolution easily covers cost minimizing transports, this is not the case for total cost maximizing transports, which actually are sup-inf problems. However, in the case where the Lagrangian L is jointly convex on phase space, Bolza-type dualities – well known in the deterministic case but novel in the stochastic case – transform sup-inf problems to sup–sup settings. We also write Eulerian formulations and point to links with the theory of mean-field games.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792519000032
      Issue No: Vol. 30, No. 6 (2019)
       
  • Reconciliation of probability measures
    • Authors: JEAN BÉRARD; NICOLAS JUILLET
      Pages: 1300 - 1310
      Abstract: We discuss the reconciliation problem between probability measures: given n⩾2 probability spaces $(\Omega,{\mathcal{F}}_1,{\mathbb{P}}_1),\ldots,(\Omega,{\mathcal{F}}_n,{\mathbb{P}}_n)$ with a common sample space, does there exist an overall probability measure ${\mathbb{P}} \ \text{on} \ {\mathcal{F}} = \sigma({\mathcal{F}}_1,\ldots,{\mathcal{F}}_n)$ such that, for all i, the restriction of ${\mathbb{P}} \ \text{to} \ {\mathcal{F}}_i$ coincides with ${\mathbb{P}}_i$ ? General criteria for the existence of a reconciliation are stated, along with some counterexamples that highlight some delicate issues. Connections to earlier (recent and far less recent) work are discussed, and elementary self-contained proofs for the various results are given.
      PubDate: 2019-12-01T00:00:00.000Z
      DOI: 10.1017/S0956792518000682
      Issue No: Vol. 30, No. 6 (2019)
       
 
 
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