O. Solan

activity

20152026

most citedSunspot Equilibrium in General Quitting Games

2 citations · 7 across the 15 of their papers we have counts for

collaborators

21 papers

math.DS2026

The Structure of Almost Stationary Measures

Ilya Gekhtman, Simon Machado, Omri Solan +1

Let $G$ be a higher-rank simple Lie group acting on a space $X$ . A theorem of Nevo and Zimmer asserts that every ergodic stationary probability measure on $X$ is either $G$ -invaria…

math.DS2026

Applications of Almost Stationarity I: Quantitative Growth of Injectivity Radius and Stück-Zimmer Theorem

Ilya Gekhtman, Simon Machado, Omri Solan +1

Fraczyk and Gelander proved in \cite{FG} that for any simple Lie group $G$ of high rank and for every non-lattice discrete subgroup $Γ \leq G$ , the injectivity radius of points in $…

math.DS2024

Orbits in Teichmüller dynamics admits a critical exponent gap

Omri Nisan Solan

McMullen '03 constructs a collection of orbits $SL_{2} (R) . x$ in $H (1, 1)$ with infinitely generated stabilizers $\mathrm{stab}_{\mathrm{SL}_2(\mathbb{R})}(…

math.DS2024

Critical exponent gap and leafwise dimension

Omri Nisan Solan

We show that for every nonarithmetic lattice $Γ < SL_{2} (C)$ there is a gap $ε_{Γ} > 0$ such that for every $g \in SL_{2} (C)$ the intersection ${\rm SL…

math.GT2023

Automatic continuity of Polynomial maps and cocycles

Tom Meyerovitch, Omri Nisan Solan

Classical theorems from the early 20th century state that any Haar measurable homomorphism between locally compact groups is continuous. In particular, any Lebesgue-measurable homo…

math.DS2023

Birkhoff generic points on curves in horospheres

Omri Nisan Solan, Andreas Wieser

Let ${a_{t} : t \in R} < S L_{d} (R)$ be a diagonalizable subgroup whose expanding horospherical subgroup $U < S L_{d} (R)$ is abelian. By the Birkhoff ergodic…

math.DS2023

Tori Approximation of Families of Diagonally Invariant Measures

Omri Nisan Solan, Yuval Yifrach

We approximate any portion of any orbit of the full diagonal group $A$ in the space of unimodular lattices in $\RR^n$ using a fixed proportion of a compact $A$ -orbit. Using those a…

math.GN2022

Browder's Theorem: from One-Dimensional Parameter Space to General Parameter Space

Eilon Solan, Omri Nisan Solan

A parametric version of Brouwer's Fixed Point Theorem, which is proven using the fixed-point index, states that for every continuous mapping $f : (X \times Y) \to Y$ , where $X$ is…

math.DS2022

On Topologically Big Divergent Trajectories

Omri N. Solan, Nattalie Tamam

We study the behavior of $A$ -orbits in $G /Γ$ , when $G$ is a semisimple real algebraic $Q$ -group, $Γ$ is a non-uniform arithmetic lattice, and $A$ is a torus of dimension $…

math.DS2021★ 1 cited

Parametric Geometry of Numbers with General Flow

Omri Nisan Solan

We extend results of parametric geometry of numbers to a general diagonal flow on the space of lattices. Moreover, we compute the Hausdorff dimension of the set of trajectories wit…

math.GN2021★ 1 cited

Browder's Theorem through Brouwer's Fixed Point Theorem

Eilon Solan, Omri N. Solan

One of the conclusions of Browder (1960) is a parametric version of Brouwer's Fixed Point Theorem, stating that for every continuous function $f : ([0, 1] \times X) \to X$ , where $X…

math.GN2021

Browder's Theorem with General Parameter Space

Eilon Solan, Omri Nisan Solan

Browder (1960) proved that for every continuous function $F : X \times Y \to Y$ , where $X$ is the unit interval and $Y$ is a nonempty, convex, and compact subset of $\dR^n$, the se…

math.OC2019

Logit Equilibrium as an Approximation of Nash Equilibrium

Eilon Solan, Omri N. Solan

We prove that the graph of the logit equilibrium correspondence is a smooth manifold, which uniformly approximates the graph of the Nash equilibrium manifold.

math.PR2018

Jointly Controlled Lotteries with Biased Coins

Eilon Solan, Omri Nisan Solan, Ron Solan

We provide a mechanism that uses two biased coins and implements any distribution on a finite set of elements, in such a way that even if the outcomes of one of the coins is determ…

math.PR2018★ 2 cited

Sunspot Equilibrium in General Quitting Games

Eilon Solan, Omri Nisan Solan

We prove that positive recursive general quitting games, which are quitting games in which each player may have more than one continue action, admit a sunspot $\ep$-equilibrium, fo…

math.OC2017

Quitting Games and Linear Complementarity Problems

Eilon Solan, Omri N. Solan

We prove that every multiplayer quitting game admits a sunspot $ε$ -equilibrium for every $ε > 0$ , that is, an $ε$ -equilibrium in an extended game in w…

math.DS2016★ 2 cited

Intersections of diagonal orbits

Omri N. Solan

Let $A \subseteq S L_{n} (R)$ group of diagonal matrices with positive diagonal, let $ST_{n} \subseteq X_{n} := S L_{n} (R) / S L_{n} (Z)$ be the set of stable lattices,…

math.GN2016

Monovex Sets

Lev Buhovsky, Eilon Solan, Omri Nisan Solan

A set $A$ in a finite dimensional Euclidean space is \emph{monovex} if for every two points $x, y \in A$ there is a continuous path within the set that connects $x$ and $y$ and is m…

math.DS2016★ 1 cited

Hausdorff dimension of weighted singular vectors

Lingmin Liao, Ronggang Shi, Omri N. Solan +1

Let $w = (w_{1}, w_{2})$ be a pair of positive real numbers with $w_{1} + w_{2} = 1$ and $w_{1} \geq w_{2}$ . We show that the set of $w$ -weighted singular vectors in $R^{2}$ has Hausdorff dimens…

math.PR2015

The Value Functions of Markov Decision Processes

Ehud Lehrer, Eilon Solan, Omri N. Solan

We provide a full characterization of the set of value functions of Markov decision processes.

math.DS2015

On problems of Danzer and Gowers and dynamics on the space of closed subsets of $R^{d}$

Omri Solan, Yaar Solomon, Barak Weiss

Considering the space of closed subsets of $R^{d}$ , endowed with the Chabauty-Fell topology, and the affine action of $S L_{d} (R) ⋉ R^{d}$ , we prove that th…

The Structure of Almost Stationary Measures

Applications of Almost Stationarity I: Quantitative Growth of Injectivity Radius and Stück-Zimmer Theorem

Orbits in Teichmüller dynamics admits a critical exponent gap

Critical exponent gap and leafwise dimension

Automatic continuity of Polynomial maps and cocycles

Birkhoff generic points on curves in horospheres

Tori Approximation of Families of Diagonally Invariant Measures

Browder's Theorem: from One-Dimensional Parameter Space to General Parameter Space

On Topologically Big Divergent Trajectories

Parametric Geometry of Numbers with General Flow

Browder's Theorem through Brouwer's Fixed Point Theorem

Browder's Theorem with General Parameter Space

Logit Equilibrium as an Approximation of Nash Equilibrium

Jointly Controlled Lotteries with Biased Coins

Sunspot Equilibrium in General Quitting Games

Quitting Games and Linear Complementarity Problems

Intersections of diagonal orbits

Monovex Sets

Hausdorff dimension of weighted singular vectors

The Value Functions of Markov Decision Processes

On problems of Danzer and Gowers and dynamics on the space of closed subsets of Rd

On problems of Danzer and Gowers and dynamics on the space of closed subsets of $R^{d}$