1 citations · 1 across the 5 of their papers we have counts for
7 papers
Formulations of Furstenberg's conjecture in complex analysis and operator algebras
Peter Burton, Jane Panangaden
Furstenberg's conjecture has remained a central open problem in ergodic theory for over years, and it serves as the basic test case for a broad class of ri…
Higher-Weight Limiting Modular Symbols
Jane Panangaden
We begin with the higher-weight modular symbols introduced by Shokurov, which generalize Manin's weight-2 modular symbols. We then define higher-weight limiting modular symbols ass…
Energy Full Counting Statistics and Return to Equilibrium
Jane Panangaden
We consider a finite dimensional quantum system in an arbitrary initial state coupled to an infinitely extended quantum thermal reservoir in equilibrium at inverse temperat…
Quantum Statistical Mechanics and the Boundary of Modular Curves
Matilde Marcolli, Jane Panangaden
The theory of limiting modular symbols provides a noncommutative geometric model of the boundary of modular curves that includes irrational points in addition to cusps. A noncommut…
Reflection probabilities of one-dimensional Schroedinger operators and scattering theory
Benjamin Landon, Jane Panangaden, Annalisa Panati +1
The dynamic reflection probability and the spectral reflection probability for a one-dimensional Schroedinger operator are characterized in terms of the scattering the…
Energy conservation, counting statistics, and return to equilibrium
Vojkan Jaksic, Jane Panangaden, Annalisa Panati +1
We study a microscopic Hamiltonian model describing an N-level quantum system S coupled to an infinitely extended thermal reservoir R. Initially, the system S is in an arbitrary st…
Reflectionless CMV matrices and scattering theory
Sherry Chu, Benjamin Landon, Jane Panangaden
Reflectionless CMV matrices are studied using scattering theory. By changing a single Verblunsky coefficient a full-line CMV matrix can be decoupled and written as the sum of two h…