19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
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Degree growth of lattice equations and maps


Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date: 22 Jun 11:30 - 13:30

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Displaying 3 contributions out of 3
One of the most important dynamical invariant associated to a birational map f is given by its dynamical degree, or equivalently, its algebraic entropy, which is defined via the rate of growth of the sequence deg(f^n). More concretely, the degrees deg(f^n), although not birationally invariant by themselves, are also of great interests in understanding the dynamics of the birational map. We propo ... More
Presented by Mr. Kangning WEI on 22/06/2023 at 10:30
Integrability criteria that have been enormously successful for second order mappings, such as singularity confinement or zero algebraic entropy, are often applied to lattice equations as though the latter were mere mappings. In this talk we will show that such a naïve approach can (and does) lead to all sorts of contradictions and that considerable care is needed when using such methods to inve ... More
Presented by Dr. Takafumi MASE on 22/06/2023 at 09:30
We study the growth of complexity, or degree growth, of one-component lattice equations defined on a 3x3 stencil. The 2x2 case was discussed in a previous talk by T. Mase. The equations studied here include two 7-point equations in Hirota bilinear form as well as 9-point Boussinesq equations of regular, modified and Schwarzian type. The initial values are given on a staircase or on a corner ... More
Presented by Prof. Jarmo HIETARINTA on 22/06/2023 at 10:00
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