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On Algorithms that Effectively Distinguish Gradient-Like Dynamics on Surfaces

JOURNAL ARTICLE published December 2018 in Arnold Mathematical Journal

Research funded by Russian Foundation for Basic Research (18-31-00022)

Authors: Vladislav E. Kruglov | Dmitry S. Malyshev | Olga V. Pochinka

The $${{mathbb {F}}}_p$$-Selberg Integral

JOURNAL ARTICLE published March 2022 in Arnold Mathematical Journal

Research funded by Directorate for Mathematical and Physical Sciences (1954266) | Simons Foundation (523882)

Authors: Richárd Rimányi | Alexander Varchenko

Springer Numbers and Arnold Families Revisited

JOURNAL ARTICLE published March 2024 in Arnold Mathematical Journal

Research funded by Ministry of Science and Technology, Taiwan (110-2115-M-003-011-MY3,109-2115-M-153-004-MY2)

Authors: Sen-Peng Eu | Tung-Shan Fu

Red Sizes of Quivers

JOURNAL ARTICLE published March 2024 in Arnold Mathematical Journal

Research funded by National Science Foundation (DMS-2039316)

Authors: Eric Bucher | John Machacek

Foreword to the Special Issue Dedicated to Misha Lyubich

JOURNAL ARTICLE published December 2020 in Arnold Mathematical Journal

Authors: Anna Miriam Benini | Tanya Firsova | Scott Sutherland | Michael Yampolsky

Polynomial Splitting Measures and Cohomology of the Pure Braid Group

JOURNAL ARTICLE published June 2017 in Arnold Mathematical Journal

Research funded by National Science Foundation (DMS-1401224)

Authors: Trevor Hyde | Jeffrey C. Lagarias

Quadratic Cohomology

JOURNAL ARTICLE published March 2015 in Arnold Mathematical Journal

Authors: A. A. Agrachev

Newton–Okounkov Polytopes of Flag Varieties for Classical Groups

JOURNAL ARTICLE published November 2019 in Arnold Mathematical Journal

Research funded by Russian Science Foundation (19-11-00056)

Authors: Valentina Kiritchenko

A Generalisation of the Cauchy–Kovalevskaïa Theorem

JOURNAL ARTICLE published September 2016 in Arnold Mathematical Journal

Authors: Mauricio Garay

Catastrophe in Elastic Tensegrity Frameworks

JOURNAL ARTICLE published October 2022 in Arnold Mathematical Journal

Authors: Alexander Heaton | Sascha Timme

Open Problems on Billiards and Geometric Optics

JOURNAL ARTICLE published October 2022 in Arnold Mathematical Journal

Research funded by Israel Science Foundation (580/20) | National Science Foundation (DMS-2005444) | RFBR (19-51-50005) | Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa (UIDB/04106/2020)

Authors: Misha Bialy | Corentin Fierobe | Alexey Glutsyuk | Mark Levi | Alexander Plakhov | Serge Tabachnikov

Ramanujan’s Theorem and Highest Abundant Numbers

JOURNAL ARTICLE published March 2020 in Arnold Mathematical Journal

Authors: Oleg R. Musin

Julia Sets of Cubic Rational Maps with Escaping Critical Points

JOURNAL ARTICLE published December 2020 in Arnold Mathematical Journal

Authors: Jun Hu | Arkady Etkin

Varieties in Cages: A Little Zoo of Algebraic Geometry

JOURNAL ARTICLE published March 2022 in Arnold Mathematical Journal

Authors: Gabriel Katz

Fundamental Matrix Factorization in the FJRW-Theory Revisited

JOURNAL ARTICLE published March 2019 in Arnold Mathematical Journal

Research funded by National Science Foundation (DMS-1700642)

Authors: Alexander Polishchuk

Maps That Must Be Affine or Conjugate Affine: A Problem of Vladimir Arnold

JOURNAL ARTICLE published June 2020 in Arnold Mathematical Journal

Research funded by National Science Foundation (1500216)

Authors: Alexey Gorinov | Ralph Howard | Virginia Johnson | George F. McNulty

The Yomdin–Gromov Algebraic Lemma Revisited

JOURNAL ARTICLE published September 2021 in Arnold Mathematical Journal

Research funded by H2020 European Research Counci (802107) | Israel Science Foundation (1167/17)

Authors: Gal Binyamini | Dmitry Novikov

The Index of a Local Boundary Value Problem for Strongly Callias-Type Operators

JOURNAL ARTICLE published March 2019 in Arnold Mathematical Journal

Research funded by Simons Foundation (G00005104)

Authors: Maxim Braverman | Pengshuai Shi

Cohomology Rings of Toric Bundles and the Ring of Conditions

JOURNAL ARTICLE published 14 August 2023 in Arnold Mathematical Journal

Research funded by Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada (156833-17) | University of Nottingham (Nottingham Research Fellowship) | Engineering and Physical Sciences Research Council (EP/R023379/1)

Authors: Johannes Hofscheier | Askold Khovanskii | Leonid Monin

A Classification of Spherical Curves Based on Gauss Diagrams

JOURNAL ARTICLE published September 2016 in Arnold Mathematical Journal

Authors: Guy Valette