165 citations · 311 across the 23 of their papers we have counts for
26 papers
A Contact Topological Glossary for Non-Equilibrium Thermodynamics
Michael Entov, Leonid Polterovich, Lenya Ryzhik
We discuss the occurrence of some notions and results from contact topology in the non-equilibrium thermodynamics. This includes the Reeb chords and the partial order on the space…
Geometric aspects of a spin chain
Michael Entov, Leonid Polterovich, Lenya Ryzhik
We discuss non-equilibrium thermodynamics of the mean field Ising model from a geometric perspective, focusing on the thermodynamic limit. When the number of spins is finite, the G…
Kahler-type embeddings of balls into symplectic manifolds
Michael Entov, Misha Verbitsky
Consider a symplectic embedding of a disjoint union of domains into a symplectic manifold . Such an embedding is called Kahler-type, or respectively tame, if it is holomorphic w…
Rigidity of Lagrangian embeddings into symplectic tori and K3 surfaces
Michael Entov, Misha Verbitsky
A Kahler-type form is a symplectic form compatible with an integrable complex structure. Let M be either a torus or a K3-surface equipped with a Kahler-type form. We show that the…
Contact topology and non-equilibrium thermodynamics
Michael Entov, Leonid Polterovich
We describe a method, based on "hard" contact topology, of showing the existence of semi-infinite trajectories of contact Hamiltonian flows which start on one Legendrian submanifol…
Legendrian persistence modules and dynamics
Michael Entov, Leonid Polterovich
We relate the machinery of persistence modules to the Legendrian contact homology theory and to Poisson bracket invariants, and use it to show the existence of connecting trajector…