13 citations · 30 across the 12 of their papers we have counts for
17 papers
Gross vectors modulo 2 and elliptic curves of prime conductor
Matija Kazalicki, Siniša Slijepčević
Let p > 3 be a prime, and let S_p denote the geometric isomorphism classes of supersingular elliptic curves in characteristic p whose j-invariants lie in F_p. For each negative fun…
Diffusive relaxation to equilibria for an extended reaction-diffusion system on the real line
Thierry Gallay, Sinisa Slijepcevic
We study the long-time behavior of the solutions of a two-component reaction-diffusion system on the real line, which describes the basic chemical reaction . Assuming th…
A new measure of instability and topological entropy of area-preserving twist diffeomorphisms
Sinisa Slijepcevic
We introduce a new measure of instability of area-preserving twist diffeomorphisms, which generalizes the notions of angle of splitting of separatrices, and flux through a gap of a…
Ergodic attractors and almost-everywhere asymptotics of scalar semilinear parabolic differential equations
Sinisa Slijepcevic
We consider dynamics of scalar semilinear parabolic equations on bounded intervals with periodic boundary conditions, and on the entire real line, with a general nonlinearity $g(t,…
Variational construction of positive entropy invariant measures of Lagrangian systems and Arnold diffusion
Sinisa Slijepcevic
We develop a variational method for constructing positive entropy invariant measures of Lagrangian systems without assuming transversal intersections of stable and unstable manifol…
The transport speed and optimal work in pulsating Frenkel-Kontorova models
Braslav Rabar, Siniša Slijepčević
We consider a generalized one-dimensional chain in a periodic potential (the Frenkel-Kontorova model), with dissipative, pulsating (or ratchet) dynamics as a model of transport whe…