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This journal is continued as Electronic Research Archive. Click guidelines to submit an article.


Electronic Research Announcements in Mathematical Sciences rapidly publishes original and expository articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication.


ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007, details at AMS.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

Cluster algebras with Grassmann variables
Valentin Ovsienko and MichaeL Shapiro
2019, 26: 1-15 doi: 10.3934/era.2019.26.001 +[Abstract](3721) +[HTML](1410) +[PDF](390.98KB)
Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows
Livio Flaminio and Giovanni Forni
2019, 26: 16-23 doi: 10.3934/era.2019.26.002 +[Abstract](2139) +[HTML](1218) +[PDF](335.03KB)
Fractal Weyl bounds and Hecke triangle groups
Frédéric Naud, Anke Pohl and Louis Soares
2019, 26: 24-35 doi: 10.3934/era.2019.26.003 +[Abstract](1883) +[HTML](904) +[PDF](368.48KB)
On higher-order anisotropic perturbed Caginalp phase field systems
Clesh Deseskel Elion Ekohela and Daniel Moukoko
2019, 26: 36-53 doi: 10.3934/era.2019.26.004 +[Abstract](1522) +[HTML](847) +[PDF](385.18KB)
Finite difference scheme for 2D parabolic problem modelling electrostatic Micro-Electromechanical Systems
Hawraa Alsayed, Hussein Fakih, Alain Miranville and Ali Wehbe
2019, 26: 54-71 doi: 10.3934/era.2019.26.005 +[Abstract](1971) +[HTML](905) +[PDF](710.52KB)
Research announcement: The structure of groups with a quasiconvex hierarchy
Daniel T. Wise
2009, 16: 44-55 doi: 10.3934/era.2009.16.44 +[Abstract](6736) +[PDF](2176.9KB) Cited By(13)
Notes on monotone Lagrangian twist tori
Yuri Chekanov and Felix Schlenk
2010, 17: 104-121 doi: 10.3934/era.2010.17.104 +[Abstract](3288) +[PDF](260.8KB) Cited By(11)
Infinite determinantal measures
Alexander I. Bufetov
2013, 20: 12-30 doi: 10.3934/era.2013.20.12 +[Abstract](3266) +[PDF](474.9KB) Cited By(9)
The spectrum of the weakly coupled Fibonacci Hamiltonian
David Damanik and Anton Gorodetski
2009, 16: 23-29 doi: 10.3934/era.2009.16.23 +[Abstract](3380) +[PDF](143.8KB) Cited By(6)
Upper bounds for Steklov eigenvalues on surfaces
Alexandre Girouard and Iosif Polterovich
2012, 19: 77-85 doi: 10.3934/era.2012.19.77 +[Abstract](3028) +[PDF](126.0KB) Cited By(6)
Multifractal formalism derived from thermodynamics for general dynamical systems
Vaughn Climenhaga
2010, 17: 1-11 doi: 10.3934/era.2010.17.1 +[Abstract](3680) +[PDF](195.7KB) Cited By(4)
Higher pentagram maps, weighted directed networks, and cluster dynamics
Michael Gekhtman, Michael Shapiro, Serge Tabachnikov and Alek Vainshtein
2012, 19: 1-17 doi: 10.3934/era.2012.19.1 +[Abstract](3105) +[PDF](262.3KB) Cited By(4)
On Totally integrable magnetic billiards on constant curvature surface
Misha Bialy
2012, 19: 112-119 doi: 10.3934/era.2012.19.112 +[Abstract](2493) +[PDF](286.6KB) Cited By(3)
Integration of exact Courant algebroids
David Li-Bland and Pavol Ševera
2012, 19: 58-76 doi: 10.3934/era.2012.19.58 +[Abstract](5405) +[PDF](431.5KB) Cited By(3)
Hölder cocycles and ergodic integrals for translation flows on flat surfaces
Alexander I. Bufetov
2010, 17: 34-42 doi: 10.3934/era.2010.17.34 +[Abstract](3669) +[PDF](173.1KB) Cited By(3)
Cluster algebras with Grassmann variables
Valentin Ovsienko and MichaeL Shapiro
2019, 26: 1-15 doi: 10.3934/era.2019.26.001 +[Abstract](3721) +[HTML](1410) +[PDF](390.98KB) PDF Downloads(466)
Zermelo deformation of finsler metrics by killing vector fields
Patrick Foulon and Vladimir S. Matveev
2018, 25: 1-7 doi: 10.3934/era.2018.25.001 +[Abstract](4809) +[HTML](1875) +[PDF](299.36KB) PDF Downloads(278)
On the norm continuity of the hk-fourier transform
Juan H. Arredondo, Francisco J. Mendoza and Alfredo Reyes
2018, 25: 36-47 doi: 10.3934/era.2018.25.005 +[Abstract](4461) +[HTML](1767) +[PDF](364.71KB) PDF Downloads(268)
Finite difference scheme for 2D parabolic problem modelling electrostatic Micro-Electromechanical Systems
Hawraa Alsayed, Hussein Fakih, Alain Miranville and Ali Wehbe
2019, 26: 54-71 doi: 10.3934/era.2019.26.005 +[Abstract](1971) +[HTML](905) +[PDF](710.52KB) PDF Downloads(243)
Orthogonal powers and Möbius conjecture for smooth time changes of horocycle flows
Livio Flaminio and Giovanni Forni
2019, 26: 16-23 doi: 10.3934/era.2019.26.002 +[Abstract](2139) +[HTML](1218) +[PDF](335.03KB) PDF Downloads(243)
Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations
Peiying Chen
2017, 24: 38-52 doi: 10.3934/era.2017.24.005 +[Abstract](4688) +[HTML](1880) +[PDF](382.7KB) PDF Downloads(195)
Research announcement: The structure of groups with a quasiconvex hierarchy
Daniel T. Wise
2009, 16: 44-55 doi: 10.3934/era.2009.16.44 +[Abstract](6736) +[PDF](2176.9KB) PDF Downloads(186)
On matrix wreath products of algebras
Adel Alahmadi, Hamed Alsulami, S.K. Jain and Efim Zelmanov
2017, 24: 78-86 doi: 10.3934/era.2017.24.009 +[Abstract](3051) +[HTML](1487) +[PDF](344.5KB) PDF Downloads(182)
Signatures, sums of hermitian squares and positive cones on algebras with involution
Vincent Astier and Thomas Unger
2018, 25: 16-26 doi: 10.3934/era.2018.25.003 +[Abstract](4420) +[HTML](1636) +[PDF](379.4KB) PDF Downloads(181)
A characterization of the concept of duality
Shiri Artstein-Avidan and Vitali Milman
2007, 14: 42-59 doi: 10.3934/era.2007.14.42 +[Abstract](1473) +[PDF](225.6KB) PDF Downloads(180)

2020 Impact Factor: 0.929
5 Year Impact Factor: 0.674

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