Luigi Ambrosio

Luigi Ambrosio

Scuola Normale Superiore di Pisa

H-index: 81

Europe-Italy

About Luigi Ambrosio

Luigi Ambrosio, With an exceptional h-index of 81 and a recent h-index of 48 (since 2020), a distinguished researcher at Scuola Normale Superiore di Pisa, specializes in the field of Matematica.

His recent articles reflect a diverse array of research interests and contributions to the field:

Metric Sobolev spaces I: equivalence of definitions

Linear inverse problems with Hessian–Schatten total variation

Optimal -approximation of functions with exponentially or sub-exponentially integrable derivative

Functions with Bounded Hessian–Schatten Variation: Density, Variational, and Extremality Properties

Monge–Ampère gravitation as a Γ-limit of good rate functions

Classical flows of vector fields with exponential or sub-exponential summability

Some Variational Problems Involving Nonlocal Perimeters and Applications

Rectifiability in Carnot groups

Luigi Ambrosio Information

University

Position

___

Citations(all)

32743

Citations(since 2020)

12265

Cited By

25181

hIndex(all)

81

hIndex(since 2020)

48

i10Index(all)

208

i10Index(since 2020)

143

Email

University Profile Page

Scuola Normale Superiore di Pisa

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Luigi Ambrosio Skills & Research Interests

Matematica

Top articles of Luigi Ambrosio

Title

Journal

Author(s)

Publication Date

Metric Sobolev spaces I: equivalence of definitions

arXiv preprint arXiv:2404.11190

Luigi Ambrosio

Toni Ikonen

Danka Lučić

Enrico Pasqualetto

2024/4/17

Linear inverse problems with Hessian–Schatten total variation

Calculus of Variations and Partial Differential Equations

Luigi Ambrosio

Shayan Aziznejad

Camillo Brena

Michael Unser

2024/1

Optimal -approximation of functions with exponentially or sub-exponentially integrable derivative

Calculus of Variations and Partial Differential Equations

Luigi Ambrosio

Sebastiano Golo Nicolussi

Francesco Cassano Serra

2023/1

Functions with Bounded Hessian–Schatten Variation: Density, Variational, and Extremality Properties

Archive for Rational Mechanics and Analysis

Luigi Ambrosio

Camillo Brena

Sergio Conti

2023/12

Monge–Ampère gravitation as a Γ-limit of good rate functions

Analysis & PDE

Luigi Ambrosio

Aymeric Baradat

Yann Brenier

2023/11/11

Classical flows of vector fields with exponential or sub-exponential summability

Journal of Differential Equations

Luigi Ambrosio

Sebastiano Nicolussi Golo

Francesco Serra Cassano

2023/11/5

Some Variational Problems Involving Nonlocal Perimeters and Applications

Fumihiko Onoue

2022/10/28

Rectifiability in Carnot groups

Gioacchino Antonelli

2022/7/7

New Trends on Analysis and Geometry in Metric Spaces

Baudoin

Ambrosio

2022

On the quadratic random matching problem in two-dimensional domains

Electronic Journal of Probability

Luigi Ambrosio

Michael Goldman

Dario Trevisan

2022

Lecture 18: An Introduction to Otto’s Calculus

Lectures on Optimal Transport

Luigi Ambrosio

Elia Brué

Daniele Semola

Luigi Ambrosio

Elia Brué

...

2021

Lecture 10: Wasserstein Geodesics, Nonbranching and Curvature

Lectures on Optimal Transport

Luigi Ambrosio

Elia Brué

Daniele Semola

Luigi Ambrosio

Elia Brué

...

2021

-convergence for a class of action functionals induced by gradients of convex functions

arXiv preprint arXiv:2101.07545

Luigi Ambrosio

Aymeric Baradat

Yann Brenier

2021/1/19

Introduction to the Notes of the School on Analysis and Geometry in Metric Spaces

Luigi Ambrosio

Bruno Franchi

Irina Markina

Francesco Serra Cassano

2021/8/8

Lecture 11: Gradient Flows: An Introduction

Lectures on Optimal Transport

Luigi Ambrosio

Elia Brué

Daniele Semola

Luigi Ambrosio

Elia Brué

...

2021

Lecture 9: Analysis on Metric Spaces and the Dynamic Formulation of Optimal Transport

Lectures on Optimal Transport

Luigi Ambrosio

Elia Brué

Daniele Semola

Luigi Ambrosio

Elia Brué

...

2021

Lecture 1: Preliminary Notions and the Monge Problem

Lectures on Optimal Transport

Luigi Ambrosio

Elia Brué

Daniele Semola

Luigi Ambrosio

Elia Brué

...

2021

Lecture 19: Heat Flow, Optimal Transport and Ricci Curvature

Lectures on Optimal Transport

Luigi Ambrosio

Elia Brué

Daniele Semola

Luigi Ambrosio

Elia Brué

...

2021

Lectures on optimal transport

Luigi Ambrosio

Elia Brué

Daniele Semola

2021/7/22

Lecture 14: Gradient Flows: The EDE and EDI Formulations

Lectures on Optimal Transport

Luigi Ambrosio

Elia Brué

Daniele Semola

Luigi Ambrosio

Elia Brué

...

2021

See List of Professors in Luigi Ambrosio University(Scuola Normale Superiore di Pisa)

Co-Authors

H-index: 58
Halil Mete Soner

Halil Mete Soner

Princeton University

H-index: 44
Giuseppe Savaré

Giuseppe Savaré

Università Commerciale Luigi Bocconi

H-index: 42
Sylvia Serfaty

Sylvia Serfaty

New York University

H-index: 38
Xavier Cabre

Xavier Cabre

Universidad Politécnica de Cataluña

H-index: 37
Andrea Braides

Andrea Braides

Università degli Studi di Roma Tor Vergata

H-index: 26
Guido De Philippis

Guido De Philippis

Scuola Internazionale Superiore di Studi Avanzati

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