On Polynomials in Primes, Ergodic Averages and Monothetic Groups

Kobayashi’s definition of plus/minus Selmer groups has been generalized to supersingular elliptic curves with a p 6= 0 by Sprung [32] and to gen- eral non-ordinary modular forms

We show that every amenable ergodic action of a real algebraic group or a connected semi-simple Lie group with finite center is induced from an action of an amenable subgroup (which

We showed that it represents a general method of construction of extremal, pure or ergodic states, both for quantum spin systems (Proposition 3.1) and many-body Boson systems

Tessitore, Nonlinear Kolmogorov equations in infinite dimensional spaces: the backward stochastic differential equations approach and applications to optimal control, Ann..

We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results.. The method we use

A sequence of weights is called universally good if any polynomial multiple ergodic average with this sequence of weights converges in L 2.. The linear case was covered by Host

In this paper, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems.. The multifractal spectrum of these

Maass, Persistence of wandering intervals in self-similar affine interval exchange transformations, Ergodic Theory and Dynamical Systems 30 (2010), no.. Bufetov, Finitely