C. Ciobotaru

activity

20132026

most citedGelfand pairs and strong transitivity for Euclidean buildings

16 citations · 38 across the 19 of their papers we have counts for

collaborators

25 papers

math.GR2026

The geometry of triples of antipodal ideal chambers of affine buildings

Corina Ciobotaru, Corentin Le Bars

In this article, we investigate two notions of genericity for triples of antipodal ideal chambers in a locally finite affine building $X$ : one defined at the ideal boundary $X^{\in…

math.RT2026

Covers of Bruhat-Tits trees

Corina Ciobotaru, Peter Vang Uttenthal

Let $G$ be a locally compact group and let $G$ be a central extension that splits over a maximal compact subgroup $K$ of $G$ . We derive an explicit cocycle that lifts t…

math.GR2026

Dynamical boundaries of affine buildings: C*-simplicity and Poisson boundaries

Corina Ciobotaru, Corentin Le Bars

We investigate a class of groups acting on possibly exotic affine buildings $X$ and possessing good proximal properties. Such groups are termed of general type, and their dynamics…

math.RT2025

Chabauty limits of fixed point groups of $p$ -adic involutions

Corina Ciobotaru

We study Chabauty limits of the fixed-point group of $k$ -points $H_{k}$ associated with an involutive $k$ -automorphism $θ$ of a connected linear reductive group $G$ defined over a no…

math.GR2024

Dynamics of strongly I-regular hyperbolic elements on affine buildings

Corina Ciobotaru

The first goal of this article is to investigate a refinement of previously-introduced strongly regular hyperbolic automorphisms of locally finite thick Euclidean buildings $Δ$ of…

math.RT2023

Symmetry breaking for $PGL (2)$ over non-archimedean local fields

Corina Ciobotaru, Jan Frahm

For a quadratic extension $E / F$ of non-archimedean local fields we construct explicit holomorphic families of intertwining operators between principal series repr…

math.GR2023

On wonderful compactifications of $S L (2, F)$ for non-Archimedean local fields $F$

Corina Ciobotaru

We compute the wonderful compactification of symmetric varieties of $S L (2, F)$ , where $F$ is a finite field-extension of $Q_{p}$ with $p \neq = 2$ , that comes from either an abstract or…

math.GR2022

Chabauty limits of groups of involutions in $S L (2, F)$ for local fields

Corina Ciobotaru, Arielle Leitner

We classify Chabauty limits of groups fixed by various (abstract) involutions over $S L (2, F)$ , where $F$ is a finite field-extension of $Q_{p}$ , with $p \neq = 2$ . To do so, we…

math.GR2020

Strong transitivity, Moufang's condition and the Howe--Moore property

Corina Ciobotaru

Firstly, we prove that every closed subgroup $H$ of type-preserving automorphisms of a locally finite thick affine building $Δ$ of dimension $\geq 2$ that acts strongly transitivel…

math.MG2020★ 2 cited

Polyhedral compactifications, I

Corina Ciobotaru, Linus Kramer, Petra Schwer

In this work we describe horofunction compactifications of metric spaces and finite dimensional real vector spaces through asymmetric metrics and asymmetric polyhedral norms by mea…

math.DS2019

(Non)-escape of mass and equidistribution for horospherical actions on trees

Corina Ciobotaru, Vladimir Finkelshtein, Cagri Sert

Let $G$ be a large group acting on a biregular tree $T$ and $Γ \leq G$ a geometrically finite lattice. In an earlier work, the authors classified orbit closures of the action of the…

math.DS2019

Measure rigidity for horospherical subgroups of groups acting on trees

Corina Ciobotaru, Vladimir Finkelshtein, Cagri Sert

We investigate analogues of some of the classical results in homogeneous dynamics in non-linear setting. Let $G$ be a closed subgroup of the group of automorphisms of a biregular t…

math.ST2018★ 1 cited

Geometrical and statistical properties of M-estimates of scatter on Grassmann manifolds

Corina Ciobotaru, Christian Mazza

We consider data from the Grassmann manifold $G (m, r)$ of all vector subspaces of dimension $r$ of $R^{m}$ , and focus on the Grassmannian statistical model which is of common…

nlin.AO2018★ 2 cited

Mean field repulsive Kuramoto models: Phase locking and spatial signs

Corina Ciobotaru, Linard Hoessly, Christian Mazza +1

The phenomenon of self-synchronization in populations of oscillatory units appears naturally in neurosciences. However, in some situations, the formation of a coherent state is dam…

math.GT2017★ 2 cited

Chabauty Limits of Subgroups of $S L (n, Q_{p})$

Corina Ciobotaru, Arielle Leitner, Alain Valette

We study the Chabauty compactification of two families of closed subgroups of $S L (n, Q_{p})$ . The first family is the set of all parahoric subgroups of $S L (n, Q_{p})$ .…

math.GR2017

The cone topology on masures

Corina Ciobotaru, Bernhard Mühlherr, Guy Rousseau +1

Masures are generalizations of Bruhat--Tits buildings and the main examples are associated with almost split Kac--Moody groups G over non-Archimedean local fields. In this case, G…

math.GR2016

The universal group of Burger--Mozes and the Howe--Moore property

Corina Ciobotaru

By constructing a new unitary representation we prove the universal group $U (F)^{+}$ of Burger--Mozes does not have the Howe--Moore property when $F$ is primitive but not $2$ -transit…

math.RT2016

Infinitely generated Hecke algebras with infinite presentation

Corina Ciobotaru

For a locally compact group G and a compact subgroup K, the corresponding Hecke algebra consists of all continuous compactly supported complex functions on G that are K-bi-invarian…

math.GR2015★ 7 cited

A note on type I groups acting on d-regular trees

Corina Ciobotaru

In this note, we give new examples of type I groups generalizing a previous result of Ol'shanskii. More precisely, we prove that all closed non-compact subgroups of Aut(T_d) acting…

math.GR2015★ 4 cited

Strongly transitive actions on affine ordered hovels

Corina Ciobotaru, Guy Rousseau

A hovel is a generalization of the Bruhat-Tits building that is associated to an almost split Kac-Moody group G over a non-Archimedean local field. In particular, G acts strongly t…

math.RT2014

Parabolically induced unitary representations of the universal group U(F)^+ are C_0

Corina Ciobotaru

By employing a new strategy we prove that all parabolically induced unitary representations of the Burger-Mozes universal group U(F)^+, with F being primitive, have all their matri…

math.RT2014

A unified proof of the Howe-Moore property

Corina Ciobotaru

We provide a unified proof of all known examples of locally compact groups that enjoy the Howe-Moore property, namely, the vanishing at infinity of all matrix coefficients of the g…

math.GR2014★ 1 cited

The flat closing problem for buildings

Corina Ciobotaru

Using the notion of a strongly regular hyperbolic automorphism of a locally finite Euclidean building, we prove that any (not necessarily discrete) closed, co-compact subgroup of t…

math.DG2014★ 3 cited

Positivity of the renormalized volume of almost-Fuchsian hyperbolic $3$ -manifolds

Corina Ciobotaru, Sergiu Moroianu

We prove that the renormalized volume of almost-Fuchsian hyperbolic $3$ -manifolds is non-negative, with equality only for Fuchsian manifolds.

The geometry of triples of antipodal ideal chambers of affine buildings

Covers of Bruhat-Tits trees

Dynamical boundaries of affine buildings: C*-simplicity and Poisson boundaries

Chabauty limits of fixed point groups of p-adic involutions

Dynamics of strongly I-regular hyperbolic elements on affine buildings

Symmetry breaking for PGL(2) over non-archimedean local fields

On wonderful compactifications of SL(2,F) for non-Archimedean local fields F

Chabauty limits of groups of involutions in SL(2,F) for local fields

Strong transitivity, Moufang's condition and the Howe--Moore property

Polyhedral compactifications, I

(Non)-escape of mass and equidistribution for horospherical actions on trees

Measure rigidity for horospherical subgroups of groups acting on trees

Geometrical and statistical properties of M-estimates of scatter on Grassmann manifolds

Mean field repulsive Kuramoto models: Phase locking and spatial signs

Chabauty Limits of Subgroups of SL(n,Qp​)

The cone topology on masures

The universal group of Burger--Mozes and the Howe--Moore property

Infinitely generated Hecke algebras with infinite presentation

A note on type I groups acting on d-regular trees

Strongly transitive actions on affine ordered hovels

Parabolically induced unitary representations of the universal group U(F)^+ are C_0

A unified proof of the Howe-Moore property

The flat closing problem for buildings

Positivity of the renormalized volume of almost-Fuchsian hyperbolic 3-manifolds

Chabauty limits of fixed point groups of $p$ -adic involutions

Symmetry breaking for $PGL (2)$ over non-archimedean local fields

On wonderful compactifications of $S L (2, F)$ for non-Archimedean local fields $F$

Chabauty limits of groups of involutions in $S L (2, F)$ for local fields

Chabauty Limits of Subgroups of $S L (n, Q_{p})$

Positivity of the renormalized volume of almost-Fuchsian hyperbolic $3$ -manifolds