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.


  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 1 volume a year.
  • Publishes online only.
  • Archived in Portico and CLOCKSS.
  • ERA-MS is a publication of the American Institute of Mathematical Sciences. All rights reserved.
  • After over two decades of leading this journal, Svetlana Katok became Founding Editor Emerita in January 2017.

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](517) +[HTML](203) +[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](277) +[HTML](198) +[PDF](335.03KB)
Notes on monotone Lagrangian twist tori
Yuri Chekanov and Felix Schlenk
2010, 17: 104-121 doi: 10.3934/era.2010.17.104 +[Abstract](1353) +[PDF](260.8KB) Cited By(8)
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](3866) +[PDF](2176.9KB) Cited By(7)
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](1634) +[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](1337) +[PDF](126.0KB) Cited By(6)
Infinite determinantal measures
Alexander I. Bufetov
2013, 20: 12-30 doi: 10.3934/era.2013.20.12 +[Abstract](1370) +[PDF](474.9KB) Cited By(6)
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](1283) +[PDF](262.3KB) 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](1599) +[PDF](173.1KB) Cited By(3)
Sharp weighted estimates for approximating dyadic operators
David Cruz-Uribe, SFO, José María Martell and Carlos Pérez
2010, 17: 12-19 doi: 10.3934/era.2010.17.12 +[Abstract](1522) +[PDF](160.5KB) Cited By(3)
An inverse theorem for the Gowers $U^{s+1}[N]$-norm
Ben Green, Terence Tao and Tamar Ziegler
2011, 18: 69-90 doi: 10.3934/era.2011.18.69 +[Abstract](1935) +[PDF](308.3KB) Cited By(2)
$\alpha$-concave functions and a functional extension of mixed volumes
Vitali Milman and Liran Rotem
2013, 20: 1-11 doi: 10.3934/era.2013.20.1 +[Abstract](1339) +[PDF](356.7KB) Cited By(2)
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](1532) +[HTML](798) +[PDF](299.36KB) PDF Downloads(121)
Hyperbolic dynamics of discrete dynamical systems on pseudo-riemannian manifolds
Mohammadreza Molaei
2018, 25: 8-15 doi: 10.3934/era.2018.25.002 +[Abstract](1586) +[HTML](693) +[PDF](398.47KB) PDF Downloads(75)
On the torsion in the center conjecture
Vitali Kapovitch, Anton Petrunin and Wilderich Tuschmann
2018, 25: 27-35 doi: 10.3934/era.2018.25.004 +[Abstract](1456) +[HTML](698) +[PDF](336.41KB) PDF Downloads(73)
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](1318) +[HTML](668) +[PDF](364.71KB) PDF Downloads(73)
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](1480) +[HTML](687) +[PDF](379.4KB) PDF Downloads(72)
Desingularization of surface maps
Erica Clay, Boris Hasselblatt and Enrique Pujals
2017, 24: 1-9 doi: 10.3934/era.2017.24.001 +[Abstract](1398) +[HTML](744) +[PDF](638.6KB) PDF Downloads(67)
Explicit geodesics in Gromov-Hausdorff space
Samir Chowdhury and Facundo Mémoli
2018, 25: 48-59 doi: 10.3934/era.2018.25.006 +[Abstract](1193) +[HTML](618) +[PDF](397.37KB) PDF Downloads(65)
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](1836) +[HTML](863) +[PDF](382.7KB) PDF Downloads(58)
The orbifold Langer-Miyaoka-Yau Inequality and Hirzebruch-type inequalities
Piotr Pokora
2017, 24: 21-27 doi: 10.3934/era.2017.24.003 +[Abstract](1434) +[HTML](853) +[PDF](281.0KB) PDF Downloads(54)
Sharpness of the Brascamp–Lieb inequality in Lorentz spaces
Neal Bez, Sanghyuk Lee, Shohei Nakamura and Yoshihiro Sawano
2017, 24: 53-63 doi: 10.3934/era.2017.24.006 +[Abstract](2042) +[HTML](1051) +[PDF](407.1KB) PDF Downloads(53)

2017  Impact Factor: 0.75

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