Abstract

• Yuliy Baryshnikov (University of Illinois Urbana-Champaign):  I describe the homotopy type of the space of solutions of linear control problems avoiding instantaneous linear obstacle. 

• Shizuo Kaji (IMI):  We discuss the problem of constructing a polynomial vector field on a polytopal domain of arbitrary dimension, satisfying slip boundary conditions and interpolating sparse observational data. By utilising the theory of hyperplane arrangements and syzygies, we reformulate the problem and present a solution. Our approach demonstrates an interplay between geometric constraints and algebraic structures in vector field reconstruction. This is joint work with J. Chu.

• Karin Ikeda (JGMI):  We introduce the so-called central binomial series, which is known to be related to poly Bernoulli numbers and bivariable Eulerian polynomials. We then introduce its Hurwitz-Lerch type generalization and discuss whether it has a similar relationship.

• Shuhei Shibata (JGMI):  I introduce the non-Markovian stochastic process called Elephant Random Walk(ERW), and in particular the collision of two ERWs. I would also like to talk about one of the properties of Gaussian processes related to this topic. 

• Yusuke Fujiyoshi (JGMI): I discuss the conditions under which a finite abelian group becomes cyclic-quasi-injective and examine its correspondence with the sum of maximum jumps in permutations associated with Sn.

• Nguyen Dinh Hoa (IMI/I2CNER):  A few methods will be introduced in this talk to iteratively learn data patterns and make use of them for future prediction. In addition, the repetitiveness of data patterns are exploited and learned for designing control schemes to track varying references in finite intervals. Applications of such methods and schemes in electric power systems and electric vehicles will be illustrated. 

• Kaname Matsue (IMI/I2CNER) :  Morphology of hydrodynamically unstable premixed flame is investigated based on asymptotic analysis and bifurcation theory. Effects of thermal expansion, buoyancy are basically taken into account, while other factors such as diffusion will be included. If possible, recent direction about linear stability of a physical factor is also provided. 

IMI = Institute of Mathematics for Industry, Kyushu University

I2CNER = International Institute for Carbon-Neutral Energy Research, Kyushu University

JGMI = Joint Graduate School of Mathematics for Innovation, Kyushu University