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Events and Seminars
  • The linear complexity and k-error linearcomplexity of cyclotomic and generali...

    Speaker:Prof.Vladimir Edmskiy
    Place:Math. Lecture room at Second floor
    Abstract:Cyclotomic sequences are widely used in many areas of cryptography and communication. We will discuss main notations and the some results about the linear complexity and the k-error linear complexity of cyclotomic and generalized cyclotomic sequences. We consider two approaches in studying the linear complexity of cyclotomic sequences. Our main focus will be on computational method for studying Discrete Fourier transform (the Gauss periods) of the cyclotomic sequences with using the cyclotomic numbers.
  • Data-driven multiscale modeling of cell fate dynamics

    Speaker:Qing Nie
    Place:Math. Lecture room at Second floor
    Abstract:Cells make fate decisions in response to different and dynamic environmental and pathological stimuli. Recent technological breakthroughs have enabled biologists to gather data in previously unthinkable quantities at single cell level. However, synthesizing and analyzing such data require new mathematical and computational tools, and in particular, understanding multiscale cellular dynamics emerging from molecular and genomic scale details demands new multiscale modeling. In this talk, I will present our recent works on analyzing single-cell molecular data, and their connections with cellular and spatial tissue dynamics. Our mathematical approaches bring together optimization,statistical physics, ODEs/PDEs, and stochastic simulations along with machine learning techniques.
  • Resident-Invader Dynamics in Infinite Dimensional Systems

    Speaker: Stephen Cantrell
    Place:Math. Lecture room at Second floor.
    Abstract:Motivated by evolutionary biology, we study general infinite-dimensional dynamical systems involving two species - the resident and the invader. Sufficient conditions for competition exclusion phenomena are given when the two species plays similar strategies. Those conditions are based on invasibility criteria, for instance, evolutionarily stable strategies in the framework of adaptive dynamics. This type of question was first proposed and studied for a class of ordinary differential equations in (S. Geritz et al., J. Math. Biol., 2002) and (S. Geritz,J. Math. Biol. 2005). We extend and generalize previous works in two directions. First, we consider analytic semiflows in infinite-dimensional spaces. Secondly, we device an argument based on Hadamard’s graph transform method that does not depend on the monotonicity of the two-species system. Our results are applicable to a wide class of reaction-diffusion models as well as models with nonlocal diffusion operators.
  • Some Models for the Interaction of Long and Short Waves in Dispersive Media

    Speaker:Nghiem Nguyen
    Place:Math. Lecture room at Second floor
  • Influence of the vacuum electric field on the well-posedness of the plasma-va...

    Speaker:Prof. Yuri Trakhinin
    Place:Math. Lecture room at Second floor
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