Colloquium – Julie Mitchell (Oak Ridge National Laboratory)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, ALABSTRACT flyer - Julie Mitchell
Colloquium – Xiaofan Li, Illinois Institute of Technology
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, ALTitle: Numerical simulations of macroscopic quantities for stochastic differential equations with alpha-stable processes Abstract: The mean first exit time, escape probability and transitional probability density are utilized to quantify dynamical behaviors of stochastic differential equations with non-Gaussian, $\alpha$-stable type L\'evy motions. Taking advantage of the Toeplitz matrix structure of the time-space discretization, a fast and
Colloquium – Frédéric Gibou (University of California, Santa Barbara)
ZoomTitle: Free Boundary Problem: Challenges and Applications Abstract: There exists a wide range of modern and important physical and Biological phenomena that are described as free boundary problems. The difficulty in solving them stems from the fact that the solution depends on a boundary that evolves in time, at which boundary conditions must be imposed
Colloquium – Frederic Gibou (University of California at Santa Barbara)
ZoomTitle: Free Boundary Problem: Challenges and Applications Abstract: There exists a wide range of modern and important physical and Biological phenomena that are described as free boundary problems. The difficulty in solving them stems from the fact that the solution depends on a boundary that evolves in time, at which boundary conditions must be imposed
Colloquium – Yuan Lou (Ohio State University)
ZoomTitle: Basic reproduction number and principal eigenvalue Abstract: Basic reproduction number is a dimensionless constant which is used in epidemiology to determine if an emerging infectious disease can spread. Principal eigenvalue, a key concept in spectral theory, is used to reflect certain properties of matrices or differential operators. In this talk we will discuss some
Colloquium – Wilfrid Gangbo, UCLA
ZoomTitle: Analytical Aspects of Mean Field Games Abstract: We highlight the isometry between the set of probability measures and the quotient of a Hilbert space. This allows to see that some important operators, such as the common noise operator in Mean Field Games, are nothing but partial Laplacians. We introduce to the so-called master equation
Colloquium – David Wright, Washington University St. Louis
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, ALTitle: A Survey of the Illustrious Jacobian Conjecture Abstract: The celebrated Jacobian Conjecture asserts: Let F be a polynomial map from C^n to C^n. If the jacobian determinant of F is everywhere non-vanishing, then F is a polynomial automorphism. This conjecture, now 82 years old and still unsolved for n>1, can be viewed as a