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News
September 4, 2026
Time to Showcase Your Research: Applications Are Now Open for Student Research Paper Competition 2026
Taking part in the Student Research Paper Competition (SRPC) gives you an opportunity to present your research to experts, receive an independent assessment, and determine the future direction of your work. The competition is open to students graduating in 2026 not only from HSE University but from universities in Russia and abroad. Papers may be submitted in Russian and English, and in some fields also in French, German, and Spanish.
September 4, 2026
‘Hedgehog Versus ‘Relatives: Researchers Measure How the Brain Responds to Unexpected Words During Natural Speech
Russian neurophysiologists, including researchers from HSE University, have demonstrated the feasibility of using event-related fields (ERFs) to study brain activity during natural speech perception. The researchers showed that this approach can be applied not only to individual words but also to continuous speech. Their findings indicate that words whose meanings differ significantly from the preceding context require longer processing times. The study also reveals that the brain processes function words in two stages: first, it identifies their grammatical role and then uses this information to predict the next word. The study has been published in Frontiers in Human Neuroscience.
August 25, 2026
Scientists Develop Algorithm for More Reliable Processors in Data Centres
Researchers from HSE MIEM and Samara University have developed the LRF-3D algorithm to automatically bypass idle nodes in three-dimensional networks-on-chip. Thanks to its hierarchical architecture, the algorithm outperforms existing solutions in both speed and path accuracy, improving processor reliability for use in data centres, supercomputers, and AI computing. The source code and test results are publicly available.

 

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Dynamics and Numbers

Vol. 669. American Mathematical Society, 2016.
Academic editor: S. Kolyada, M. Moller, P. Moree, T. Ward

This volume contains a collection of survey and research articles from the special program and international conference on Dynamics and Numbers held at the Max-Planck Institute for Mathematics in Bonn, Germany in 2014.

The papers reflect the great diversity and depth of the interaction between number theory and dynamical systems and geometry in particular. Topics covered in this volume include symbolic dynamics, Bratelli diagrams, geometry of laminations, entropy, Nielsen theory, recurrence, topology of the moduli space of interval maps, and specification properties. - See more at: http://bookstore.ams.org/conm-669#sthash.yHCBy69L.dpuf

Chapters
The combinatorial Mandelbrot set as the quotient of the space of geolaminations
Blokh A., Oversteegen L., Ptacek R. et al., , in: Dynamics and NumbersVol. 669.: American Mathematical Society, 2016. P. 50–74.
We interpret the combinatorial Mandelbrot set in terms of \it{quadratic laminations} (equivalence relations ∼ on the unit circle invariant under σ2). To each lamination we associate a particular {\em geolamination} (the collection ∼ of points of the circle and edges of convex hulls of ∼-equivalence classes) so that the closure of the set of all ...
Added: September 20, 2016
Priority areas: mathematics
Language: English
Text on another site
Keywords: dynamical systemsanalytic number theory
Dynamics and Numbers
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Infinitely many graph manifolds with unique geometrical piece that admit arbitrarily many Anosov flows
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the study of geodesic flows in negative curvature surface by Anosov and Sinai. Not every closed manifold admits an Anosov flow for well-known reasons: the fundamental group of a 3-manifold M admitting an Anosov flow must have exponential growth, and M must be universally covered by R3. Nevertheless, there ...
Added: August 31, 2026
New bound on S1× S2-setting Bell locality of a nonseparable Werner state
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In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a  nonseparable Werner state with a ...
Added: July 21, 2026
On functional equations for Chow polylogarithms
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Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Statistical inference based on band-limited kernels: Rational-infinitely divisible distributions and beyond
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Strong Approximations for Markov Chains Weakly Converging to Diffusions
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In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Bifurcations and Structural Stability of Generic PC-HC Families
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In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
On the minimum number of maximal distance-k independent sets in trees
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Added: May 1, 2026
On Arithmetic Mirror Symmetry for smooth Fano fourfolds
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Added: April 30, 2026
On weak solutions to the 1d compressible Navier-Stokes equations: a Lipschitz continuous dependence on data in weaker norms and an error of their homogenization
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Added: April 18, 2026
On the dimension of the space of static potentials on three-manifolds
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Added: April 3, 2026
Using predefined vector systems to speed up neural network multimillion class classification
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Added: April 2, 2026
Homogeneous maximizers of the Blaschke-Santalo-type functionals
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Added: February 13, 2026
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Added: December 16, 2025
Singularities of integrable Hamiltonian systems with the same boundary foliation. An infinite series
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Added: September 12, 2025
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Added: September 12, 2025
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Added: November 22, 2023
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Added: October 30, 2022
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Added: October 19, 2022
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