This paper proposes a new mathematical paradigm to analyze discrete-time mean-field
games. It is shown that finding Nash equilibrium solutions for a general class of discrete-time …

The aim of this work is to investigate some algebraic structures of objects which are defined
and related to a manifold. Consider L to be a smooth manifold and Γ∞(TL) to be the module …

In this article we give strong versions for preparation theorems for $\mathbb {R} _ {an, exp} $-
definable functions outgoing from methods of Lion and Rolin ($\mathbb {R} _ {an, exp} $ is …

In this article, we define restricted log-exp-analytic functions as compositions of log-analytic
functions and exponentials of locally bounded functions. We prove that the derivative of a …

arXiv:2205.12011v1 [math.LO] 24 May 2022 Page 1 Global Complexification of Real Analytic
Restricted Log-Exp-Analytic Functions Andre Opris Abstract. We show that a real analytic …

A preparation theorem for compositions of restricted log-exp-analytic functions and power
functions of the form $$ h:\mathbb {R}\to\mathbb {R}, x\mapsto\left\{\begin {array}{ll} x^ r, & x> …

We show that unary log-analytic functions are polynomially bounded. In the higher
dimensional case, globally a log-analytic function can have exponential growth. We show …

In this thesis we consider real analytic functions, ie functions which can be described locally
as convergent power series and ask the following: Which real analytic functions definable in …