IMPMS 2026: THE 5TH ITALIAN MEETING ON PROBABILITY AND MATHEMATICAL STATISTICS
SLIDES

Numerical Approximation of McKean-Vlasov SDEs via Stochastic Gradient Descent

Andrea Amato, Ankush Agarwal, Stefano Pagliarani and Goncalo Dos Reis

Pathwise Uniqueness by Noise for Stochastic PDEs with Singular Drift

Davide Augusto Bignamini, Davide Addona, Carlo Orrieri and Luca Scarpa

Second Quantization and Evolution Operators in Infinite Dimension

Paolo De Fazio and Davide Addona

Approximation of Diffusion Exit Times from Bounded Domains via a Rejection-Based Random Walk

Samuel Herrmann and Madalina Deaconu

Contact Process on Interchange Process

Daniel Valesin, Marcelo Hilario, Daniel Ungaretti and Maria Eulalia Vares

Large-Sample Asymptotics of Coalescent Importance Sampling Algorithms

Jere Koskela and Martina Favero

Sampling Error Bounds for the Denoising Diffusion Probabilistic Model via the FöLlmer Process

Yuta Koike

Learning Theory of Shallow Neural Networks Through the Lens of Rkbs

Lorenzo Fiorito, Shuo Huang, Emanuele Naldi, Ernesto De Vito and Lorenzo Rosasco

A Multi-Factorial Innovation Model with Feature-Interaction

Andrea Ghiglietti, Giacomo Aletti and Irene Crimaldi

Random Walks with Stochastic Resetting: a Discrete Time Approach

Thomas M. Michelitsch, Giuseppe D'Onofrio, Federico Polito and Alejandro P. Riascos

Flowing Datasets with Wasserstein over Wasserstein Gradient Flows

Clément Bonet

A Conformal Prediction Approach to Predict Populations of Networks

Matteo Fontana, Anna Calissano, Simone Vantini and Gianluca Zeni

Rearranged Stochastic Heat Equation with an Entropy Gradient Structure

Rhoss Likibi Pellat and Francois Delarue

Chapter 2: Transport Equation and Kolmogorov Equations

Enrico Priola

Infection Models on Dense Dynamic Random Graphs

Simone Baldassarri

Threshold-Driven Streaming Graph: Expansion and Rumor Spreading

Flora Angileri, Andrea Clementi, Emanuele Natale, Michele Salvi and Isabella Ziccardi

Efficient Computation and Estimation of Generalized Cumulants via Complementary Set Partitions

Elvira Di Nardo

New Distributed Beacon-Based Approaches for Multi-Parameter Monitoring: Sentinel-GRID

Vito Santarcangelo, Angelo Romano, Alessandro D'Alcantara, Sergio Vitullo, Gioele Gargano, Emilio Massa, Davide Scintu, Teresa Maltese, Michele Di Lecce, Giuseppe Oddo, Mario Azzone, Rocco Chiechi and Giovanni Azzone

Noise Induced Stabilization in Stochastic Chemical Reaction Network in a Bulk

Lucie Laurence and Andrea Agazzi

The Minority Dynamics

George Giakkoupis, Dimitrios Los, Thomas Sauerwald and Isabella Ziccardi

McKean–Vlasov Dynamics with Killing and Memory: Probabilistic Representations of a McKean-Type PDE

Leonardo Tarquini, Daniela Morale and Stefania Ugolini

Statistical inference for SDEs using Signatures

Nikolas Tapia

Stability of Reaction Networks with Randomly Switching Parameters - Part 1

Daniele Cappelletti, Aidan Howells and Chuang Xu

Hydrodynamic Limits of Exploration Processes on Large Random Graphs

Pascal Moyal, Mohamed Habib Aliou Diallo Aoudi and Vincent Robin

The Wasserstein Geometry of Random Measures

Alessandro Pinzi and Giuseppe Savaré

A Non-Local Singular Non-Linear Fokker-Planck: Probabilistic Representation and Analytical Properties

Luca Bondi, Elena Issoglio and Francesco Russo

Two-Sample Test for Laws of Random Probabilities via Optimal Transport

George Kanchaveli, Marta Catalano and Hugo Lavenant

Fluctuations of the Simple Exclusion Process on Point Processes

Alberto Chiarini and Alessandra Faggionato

A Semiconcavity Approach to Stability of Entropic Plans and Exponential Convergence of Sinkhorn’s Algorithm - Part 1

Alberto Chiarini, Giovanni Conforti, Giacomo Greco and Luca Tamanini

Doob and Bernstein–Von Mises Theorems in Predictive Inference

Sandra Fortini, Sonia Petrone, Marco Battiston and Lorenzo Cappello

Hard Wall Repulsion for the Discrete Gaussian Free Field in Random Environment in Supercritical Dimension

Emanuele Pasqui, Alberto Chiarini and Alessandra Cipriani

Distribution-Free Outlier Detection

Aldo Solari, Chiara Gaia Magnani and Matteo Sesia

Well-Posedness of a Stochastic Reacting Particle System with Non-Local and Lennard–Jones Interactions

Giulia Rui, Daniela Morale and Stefania Ugolini

Competing Growth on the Configuration Model via First-Passage Percolation and Long-Range Jumps

Matteo Sfragara and Bernardo D'Auria

Maintaining K-MinHash Signatures over Fully-Dynamic Data Streams with Recovery

Andrea Clementi, Luciano Gualà, Luca Pepè Sciarria and Alessandro Straziota

On the Stability Region of Scheduling in a Random Environment

Nahuel Soprano-Loto, Urtzi Ayesta and Ina Maria Verloop

Optimal Control of McKean-Vlasov Systems Under Partial Observation and Hidden Markov Switching

Marco Fuhrman, Huyên Pham and Silvia Rudà

Likelihood-Based Priors: a Kernel Mixture Approach

Luca Martino

Averaging Dynamics for a Two-Scale Navier- Stokes System Driven by Fractional Brownian Motion

Francesco Triggiano and Eliseo Luongo

Fractional Cointegration of Geometric Functionals

Anna Vidotto, Alessia Caponera and Domenico Marinucci

Stochastic Interpretation of Time-Dependent Bose-Einstein Condensation

Luigi Borasi, Francesco Carlo De Vecchi and Stefania Ugolini

Stationary Mean Field Games on Networks with Sticky Transition Conditions

Fabio Camilli

Directed Polymer in Spatially Correlated Environment

Clément Cosco, Francesca Cottini and Anna Donadini

Chapter 4: the Nonsmooth Kraichnan Model

Mario Maurelli, Marco Bagnara, Michele Coghi, Lucio Galeati and Francesco Grotto

Approximate 2-Hop Neighborhoods on Incremental Graphs: an Efficient Lazy Approach

Luca Becchetti, Andrea Clementi, Luciano Gualà, Luca Pepè Sciarria, Alessandro Straziota and Matteo Stromieri

Exchangeable Random Permutations with an Application to Bayesian Graph Matching

Francesco Gaffi, Nathaniel Josephs and Lizhen Lin

Mixing Trichotomy for Random Walks on Directed Stochastic Block Models

Alessandra Bianchi, Giacomo Passuello and Matteo Quattropani

Hookean Dumbbell Model for Polymers, Stretching Noise and Turbulence

Yassine Tahraoui

Stochastic Solutions to Abstract Telegraph-Type Equations Involving Fractional Dynamics

Alessandro De Gregorio

Chapter 1: Ergodicity and Markov Selections

Marco Romito

Strong Feller Property and Irreducibility for Stochastic PDEs with Degenerate Multiplicative Noise

Luca Scarpa and Margherita Zanella

Minimal Shapes on the Hyperbolic Lattices and the Emergence of Metastability

Vanessa Jacquier

Capturing Growth and Shock Dynamics through Lognormal Diffusions with Binomial Catastrophes

Antonio Di Crescenzo, Sabina Musto, Paola Paraggio and Francisco De Asìs Torres Ruiz

Extended Feature Allocation Models

Lorenzo Ghilotti, Mario Beraha and Federico Camerlenghi

Stochastic Diffuse Interface Models Driven by Conservative Noise

Andrea Di Primio, Maurizio Grasselli and Luca Scarpa

Spectral and Geometric Phase Transitions in Deep Neural Networks

Simmaco Di Lillo, Domenico Marinucci, Michele Salvi and Stefano Vigogna

Anomalous Phenomena in the Kraichnan Model of Turbulence

Lucio Galeati, Francesco Grotto, Mario Maurelli, Theodore D. Drivas and Umberto Pappalettera

Node2vec Random Walks: Regular Graphs and Recurrence

Lars Schroeder, Clara Stegehuis, Gianmarco Bet and Luca Avena

On the Markov Modulated Poisson Process and Its Application in Shock Models

Nicola Giordano, Barbara Martinucci and Paola Paraggio

Martingale Problems with Distributional Drift via: Weak and Strong Convergence of Heat-Regularised Euler Schemes

Matteo Cagnotti and Elena Issoglio

Existence, Uniqueness and Asymptotic Stability of Invariant Measures for the Stochastic Allen–Cahn–Navier–Stokes System with Singular Potential

Margherita Zanella, Andrea Di Primio and Luca Scarpa

Refined Uniqueness Results for 2D Euler and gSQG with Rough Kraichnan Noise

Marco Bagnara and Lucio Galeati

Optimizing Fuzzy Partitions for Visual Sensors

Andrea Capotorti and Marco Baioletti

Solidification Estimates on Percolation Clusters

Zhizhou Liu, Alberto Chiarini and Maximilian Nitzschner

Analysis of Systems Through the Regression Importance Signature

Antonio Di Crescenzo, Giulia Pisano and Alfonso Suárez-Llorens

Self-Normalization of Sums of Dependent Random Variables

Thomas Mikosch

Integrated Expectile-Based Measures of Inequality

Marco Tarsia and Ignacio Cascos

Exponential Integrability of the Solution and the Invariant Measure to the Stochastic Burgers Equation

Josef Janák

Association in Spatial Queueing-Filtering Networks

Emanuele Mengoli and Nahuel Soprano-Loto

Branching Random Walks with Ageing

Daniela Bertacchi, Elena Montanaro and Fabio Zucca

Target Hitting Counting Process in Networks and Applications to Evanescent Random Walks

Thomas Michelitsch and Alejandro P. Riascos

Poisson Hail on a Wireless Ground

François Baccelli, Ke Feng and Sergey Foss

Bismut-Elworthy Type Formulae for BSDEs with Degenerate Noise

Federica Masiero and Davide Addona

Conditional Coverage in Conformal Prediction: Tradeoffs and Insights

Sacha Braun, Berta Eugene, Holzmuller David, Francis Bach and Michael I. Jordan

Zero-Noise Selection and Large Deviations in $L^\Infty_t L^P_x$ for the Stochastic Transport Equation Beyond DiPerna-Lions

Umberto Pappalettera, Gianluca Crippa and Eliseo Luongo

Linearization of McKean SDEs with Application to Parameter Estimation

Andrea Zanoni and Grigorios A. Pavliotis

On the Stochastic Sine-Gordon Model from the Viewpoint of Quantum Field Theory

Claudio Dappiaggi, Alberto Bonicelli, Beatrice Costeri and Paolo Rinaldi

Robust Quasi-Convex and Cash-Subadditive Risk Measures: Theory, Duality, and Applications

Francesca Centrone, Asmerilda Hitaj, Elisa Mastrogiacomo and Emanuela Rosazza Gianin

Hypercontractivity Type Property for Generalized Mehler Semigroups

Simone Ferrari

The infimal convolution structure of the Hellinger-Kantorovich distance

Nicolò De Ponti, Giacomo Enrico Sodini and Luca Tamanini

Large Field Problem in Coercive Singular PDEs

Ilya Chevyrev and Massimiliano Gubinelli

Mean-Field Games in Hilbert Spaces with Degenerate Diffusion: a Viscosity Solution Approach

Andrzej Swiech and Lukas Wessels

Generalizations of Elastic Brownian Motion

Fausto Colantoni

Stability of Reaction Networks with Randomly Switching Parameters - Part 2

Daniele Cappelletti and Aidan Howells

Non-Local Dynamic Boundary Conditions for Sticky Brownian Motions on Smooth Domains

Mirko D'Ovidio

Sticky Vertices with Energy Accumulation

Mirko D'Ovidio

Reinsurance Games Through Quantile-Constrained Choquet-Wasserstein Approximations

Andrea Cinfrignini, Silvia Lorenzini, Davide Petturiti and Barbara Vantaggi

A Fractional Hawkes Process

Enrico Scalas

Anomalous Regularization and Dissipation for 2D Euler Equations with Rough Kraichnan Noise

Eliseo Luongo, Lucio Galeati and Umberto Pappalettera

Global Optimization via Softmin Energy Minimization

Andrea Agazzi, Marco Romito, Samuele Saviozzi and Vittorio Carlei

Finite Vs Infinite-Mean Heavy-Tailed Fitness: Geometry and Connectivity in Inhomogeneous Random Graphs

Elena Matteini, Luisa Andreis, Luca Avena and Rajat Subhra Hazra

Quantitative Convergence of Trained Quantum Neural Networks to a Gaussian Process

Anderson Melchor Hernandez, Filippo Girardi, Davide Pastorello and Giacomo De Palma

Quantitative Tensor Programs

Eloy Mosig, Dario Trevisan and Andrea Agazzi

Learning from Surrogate Data: Weak-to-Strong Generalization Through the Lens of High-Dimensional Regression

Marco Mondelli

Flow Equation Approach to Stochastic Quantisation

Paolo Rinaldi, Pawel Duch and Massimiliano Gubinelli

Optimal Resource Extraction with a Random Threshold

Mattia Allemandri, Tiziano De Angelis and Alessandro Milazzo

Massive Particle Systems, Wasserstein Brownian Motions, and the Dean--Kawasaki SPDE

Lorenzo Dello Schiavo

Non-Universal Fluctuations for Functionals of Random Neural Networks

Leonardo Maini

Relative Performance Concerns in Financial Markets Under Recursive Intertemporal Preferences

Frank Riedel, Jodi Dianetti and Lorenzo Stanca

Quantitative Gaussian Approximations and High-Order Corrections for Wide Neural Networks

Lucia Celli

Random Flights and Anomalous Diffusion: a Non-Markovian Take on Lorentz Processes

Lorenzo Facciaroni, Costantino Ricciuti, Enrico Scalas and Bruno Toaldo

Can One Hear the Shape of a Random Matrix?

Elia Bisi, Fabio Deelan Cunden, Ivailo Hartarsky and Stephan Wagner

Master Equations for Continuous-Time Random Walks with Stochastic Resetting

Gianni Pagnini and Fausto Colantoni

ZOBA: an Efficient Stocastic Zeroth-Order Bilevel Optimization

Marco Rando and Samuel Vaiter

Stochastic Ordering Tools for Reaction Network Models

Daniele Cappelletti, Giulio Cuniberti and Paola Siri
Total: 105 presentations.