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ICERM/Brown University

This workshop focuses on random polynomials - with coefficients that are random variables - in mathematics as well as their applications in other fields. Studying the zeros of a polynomial is one of the oldest and most fundamental problems in mathematics. Classical results include bounds on the number of real roots and connections between the roots and critical points, while extremal properties and approximation theorems have established the importance of polynomials as objects in analysis. Random polynomials arise in many applications, ranging across many fields of physics, engineering, economics, and mathematics. For example, in recent years, random polynomials have been used to study problems in evolutionary game theory, random matrix theory, free probability theory, numerical analysis, symplectic geometry, quantum chaotic dynamics, random differential equations, and approximate solutions of operator equations. This meeting will be a forum to explore problems involving random polynomials, focusing on the various aforementioned applications and involving researchers who study their theoretical, applicable, computational, and numerical aspects.

Tél.: [4018635030];     Email.: info@icerm.brown.edu

Simons Laufer Mathematical Sciences Institute (SLMath)

The Connections workshop will bring together leading experts working at the intersection of kinetic theory and stochastic partial differential equations (SPDEs). Kinetic theory is a body of theory for non-equilibrium statistical mechanics. The phase-space formulation provides the flexibility of characterizing dynamics emerging from a wide range of applications, ranging from rarified gas, to plasma, to photons, to bacteria. Complementing this, SPDEs provide powerful tools for modeling systems influenced by random fluctuations and noise, essential for capturing the inherent uncertainties in complex processes. This workshop will delve into how these cutting-edge mathematical techniques can be integrated to analyze and predict the behavior of systems ranging from fluid dynamics to financial models.

Calcul infinitésimal, équations différentielles et intégrales,    Physique mathématique

Simons Laufer Mathematical Sciences Institute (SLMath)

The goal of the workshop is to introduce non-experts to two active research areas: kinetic theory and stochastic partial differential equations. Kinetic theory studies the properties of interacting particle systems modeling various processes in non-equilibrium statistical mechanics. Stochastic partial differential equations describe dynamics subjected to random noises. The methods from the two areas complement each other in studies of the phenomena arising in physics, economics, life sciences, etc.

Calcul infinitésimal, équations différentielles et intégrales,    Physique mathématique

Society for Industrial and Applied Mathematics (SIAM)

The study of geophysical systems, whether from a scientific or technological perspective, calls for sophisticated mathematical modeling, efficient computational methods, and pervasive integration with data. This conference aims to stimulate the exchange of ideas among geoscientific modelers, applied mathematicians, engineers, and other scientists, having special interests in the range of geophysical domains from the deep subsurface to the atmosphere.

Géophysique et géologie,    Physique numérique

This workshop will explore the latest advances in kinetic theory and stochastic particle dynamics in mean field regimes, covering both classical themes and emerging areas. Topics will include the derivation of kinetic type equations from particle and plasma systems, state-of-the-art numerical methods, studies of multiscale phenomena, and the applications of kinetic equations in physics, chemistry, computer sciences appearing in life sciences, social sciences, and machine learning. This workshop will offer an exciting opportunity to connect researchers from all stages and sub-areas and spark new ideas.

Physique mathématique,    Physique numérique

This workshop, sponsored by AIM and the NSF, will bring together researchers from across the mathematical sciences to apply a broad range of mathematical, statistical, and data science tools to study the mathematical sciences community. The workshop will include both researchers currently working in this area, as well as researchers new to the field interested in applying their expertise to this area.

Developing MetaMath as an example of using mathematical, statistical, and computational methods to investigate the mathematical sciences community itself. Catalyzing research collaborations aimed at using data to answer questions about the mathematical sciences community. Exploring the variety of mathematical, statistical, and data science techniques that can be applied to gain insight into the systems and structure of the mathematical sciences community.

Mathématiques générales et evénement multidisciplinaires,    Calcul scientifique et science des données