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of 275
pro vyhledávání: '"Bunimovich, Leonid"'
Autor:
Bunimovich, Leonid, Ram, Athulya
The paper continues the study of the phenomenon of local immunodeficiency (LI) in viral cross-immunoreactivity networks, with a focus on the roles and interactions between altruistic and persistent viral variants. As always, only the state of stable
Externí odkaz:
http://arxiv.org/abs/2405.18402
Autor:
Bunimovich, Leonid A., Su, Yaofeng
In a vast area of probabilistic limit theorems for dynamical systems with chaotic behaviors always only functional form (exponential, power, etc) of the asymptotic laws and of convergence rates were studied. However, for basically all applications, e
Externí odkaz:
http://arxiv.org/abs/2306.15057
Autor:
Bunimovich, Leonid, Shapiro, Roberta
We prove that the billiard claimed to be a possible counterexample to the Birkhoff-Poritsky conjecture is actually not a counterexample. We also show that for a billiard in a table obtained by the string construction over any convex polygon, this pol
Externí odkaz:
http://arxiv.org/abs/2305.03095
Autor:
Bunimovich, Leonid A., Su, Yaofeng
We prove a maximal-type large deviation principle for dynamical systems with arbitrarily slow polynomial mixing rates. Also several applications, particularly to billiard systems, are presented.
Externí odkaz:
http://arxiv.org/abs/2208.03603
Antigenic cooperation in Viral Populations: Transformation of Functions of Intra-Host Viral Variants
In this paper we study intra-host viral adaptation by antigenic cooperation - a mechanism of immune escape that serves as an alternative to the standard mechanism of escape by continuous genomic diversification and allows to explain a number of exper
Externí odkaz:
http://arxiv.org/abs/2205.01014
Autor:
Bunimovich, Leonid, Katz, Gabriel
Given a closed $k$-dimensional submanifold $K$, incapsulated in a compact domain $M \subset \mathbb E^n$, $k \leq n-2$, we consider the problem of determining the intrinsic geometry of the obstacle $K$ (like volume, integral curvature) from the scatt
Externí odkaz:
http://arxiv.org/abs/2203.06704
Autor:
Bunimovich, Leonid, Su, Yaofeng
We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such holes are of the main interest for billiard systems, especially for appli
Externí odkaz:
http://arxiv.org/abs/2203.00785
Antigenic cooperation in viral populations: Transformation of functions of intra-host viral variants
Publikováno v:
In Journal of Theoretical Biology 7 March 2024 580
Autor:
Bunimovich, Leonid A.
We introduce a class of billiards with chaotic unidirectional flows (or non-chaotic unidirectional flows with "vortices") which go around a chaotic or non-chaotic "core", where orbits can change their orientation. Moreover, the corresponding billiard
Externí odkaz:
http://arxiv.org/abs/2105.06333