Herscovich, Estanislao
Published in
Journal of Homotopy and Related Structures

Our objective is to show a possibly interesting structure of homotopic nature appearing in persistent (co)homology. Assuming that the filtration of a simplicial set embedded in Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{up...

Herscovich, Estanislao Solotar, Andrea

International audience

Herscovich, Estanislao
Published in
Journal of Homotopy and Related Structures

Lapin has constructed a multiplicative spectral sequence from a deformation of an A∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$A_{\infty }$$\end{document}-algebra....

Dang, Nguyen Viet Herscovich, Estanislao

International audience

Herscovich, Estanislao

International audience

Mariani, Mauro Sire, Yannick
Published in
Calculus of Variations and Partial Differential Equations

We are concerned with a control problem related to the vanishing fractional viscosity approximation to scalar conservation laws. We investigate the Γ-convergence of the control cost functional, as the viscosity coefficient tends to zero.

Fraiman, Ricardo Ghattas, Badih Svarc, Marcela
Published in
Advances in Data Analysis and Classification

We herein introduce a new method of interpretable clustering that uses unsupervised binary trees. It is a three-stage procedure, the first stage of which entails a series of recursive binary splits to reduce the heterogeneity of the data within the new subsamples. During the second stage (pruning), consideration is given to whether adjacent nodes c...

Fernández, Roberto Maillard, Grégory
Published in
Journal of Statistical Physics

We introduce a statistical mechanical formalism for the study of discrete-time stochastic processes with which we prove: (i) General properties of extremal chains, including triviality on the tail σ-algebra, short-range correlations, realization via infinite-volume limits and ergodicity. (ii) Two new sufficient conditions for the uniqueness of the ...

Lapied, André Toquebeuf, Pascal
Published in
Theory and Decision

This note completes the main result of Zimper (Theory and decision, doi:10.1007/s11238-010-9221-8, 2010), by showing that additional conditions are needed in order the law of iterated expectations to hold true for Choquet decision makers. Due to the comonotonic additivity of Choquet expectations, the equation E[f, ν(dω)] = E[E[f(ωi, j), ν(Ai, j|Ai)...

González, María del Mar Sáez, Mariel Sire, Yannick
Published in
Annali di Matematica Pura ed Applicata (1923 -)

We investigate the equation (-ΔHn)γw=f(w)inHn,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} (-\Delta _{\mathbb{H }^n})^{\gamma } w=f(w)\quad \text{ in...