2 citations · 4 across the 12 of their papers we have counts for
14 papers
Bulk stability of bimolecular stochastic chemical reaction networks
Andrea Agazzi, Lucie Laurence
We establish criteria for stability in the bulk of planar stochastic chemical reaction networks with mass-action kinetics. Using Poincaré compactification, we characterize the asym…
Sharp Higher Integrability Theory, Part I: The -norm of the Beurling--Ahlfors transform
Andrea Agazzi, Kari Astala, Giuseppe Bruno +18
We confirm a conjecture posed by T. Iwaniec in 1982: the norm of the Beurling--Ahlfors transform is if , and if .
Quantitative Diffusive Limits for Singular Nonlocal Transport
Andrea Agazzi, Giuseppe Bruno, Federico Pasqualotto +1
We study the nonlocal continuity equation \[ \partial_tμ_b =\operatorname{div}\!\left( μ_b\nabla\log\bigl((I-b^2Δ)^{-1}μ_b\bigr) \right) \] on a closed connected Riemannian manifol…
Morrey's problem in and
Andrea Agazzi, Giuseppe Bruno, André Guerra +1
We find an explicit rank-one convex non-quasiconvex integrand in : to falsify the quasiconvexity inequality, we exhibit a map …
Token Economy for Fair and Efficient Dynamic Resource Allocation in Congestion Games
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centraliz…
Evolutionary Analysis of Continuous-time Finite-state Mean Field Games with Discounted Payoffs
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
We consider a class of continuous-time dynamic games involving a large number of players. Each player selects actions from a finite set and evolves through a finite set of states.…
Evolutionary Dynamics in Continuous-time Finite-state Mean Field Games -- Part II: Stability
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves sto…
Evolutionary Dynamics in Continuous-time Finite-state Mean Field Games -- Part I: Equilibria
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves sto…
A multiscale analysis of mean-field transformers in the moderate interaction regime
Giuseppe Bruno, Federico Pasqualotto, Andrea Agazzi
In this paper, we study the evolution of tokens through the depth of encoder-only transformer models at inference time by modeling them as a system of particles interacting in a me…
Noise-induced stabilization in a chemical reaction network without boundary effects
Andrea Agazzi, Lucie Laurence
We present a chemical reaction network that is unstable under deterministic mass action kinetics, exhibiting finite-time blow-up of trajectories in the interior of the state space,…
Emergence of meta-stable clustering in mean-field transformer models
Giuseppe Bruno, Federico Pasqualotto, Andrea Agazzi
We model the evolution of tokens within a deep stack of Transformer layers as a continuous-time flow on the unit sphere, governed by a mean-field interacting particle system, build…
Fair Artificial Currency Incentives in Repeated Weighted Congestion Games: Equity vs. Equality
Leonardo Pedroso, Andrea Agazzi, W. P. M. H. Heemels +1
When users access shared resources in a selfish manner, the resulting societal cost and perceived users' cost is often higher than what would result from a centrally coordinated op…
Scalable and Calibrated Sampling for Bayesian Generalized Linear Mixed Model via Stochastic Gradient Markov Chain Monte Carlo
Youngsoo Baek, Andrea Agazzi, Felipe A. Medeiros +1
Generalized linear mixed models (GLMMs) are widely used for analyzing correlated data, particularly in large-scale biomedical and social science applications. Scalable Bayesian inf…
Random Splitting of Point Vortex Flows
Andrea Agazzi, Francesco Grotto, Jonathan C. Mattingly
We consider a stochastic version of the point vortex system, in which the fluid velocity advects single vortices intermittently for small random times. Such system converges to the…