Nadcházející semináře

  • prof. Ehud Kaplan (Mount Sinai School of Medicine, NY): Estimating the amount of information transmitted by a neuronal population

    4.6.2019 16:00 @ Ostatní semináře

    Information Theory (as defined by C. Shannon) has been used to estimate the amount of entropy and information in data from single neurons. However, when dealing with a population of neurons, even a small one, a combinatorial explosion thwarted such estimates. We have solved this problem, and our solution now makes it possible to address some fundamental questions in neuroscience which were beyond reach previously. I shall describe the problem, the solution and its possible application in neuroscience.

  • Israel Rocha: Partial sum of eigenvalues of random graphs

    7.6.2019 10:00 @ Applied Mathematical Logic

    In this talk we present new results on the partial sum of eigenvalues of the two main matrices in SGT: adjacency and Laplacian. Given a matrix M with eigenvalues $lambda_1geq lambda_2 geq ldotsgeq lambda_n$. We define the partial sum $S_k(M)=sum_{i=1}^klambda_i$ for $1leq kleq n$. This parameter has its origens in theoretical chemistry in the H"{u}ckel molecular orbital theory. In this theory the behavior of the so-called $pi$-electrons in an unsaturated conjugated molecule is fully described in terms of the eigenvalues of the corresponding adjacency matrix. This parameter has been extensively investigated for several different matrices. Here, we present new upper bounds for $S_k$ for the Laplacian and adjacency matrix of random graphs.