7 research outputs found
Motzkin numbers out of Random Domino Automaton
Full text linkMotzkin numbers are derived from a special case of Random Domino Automaton -
recently proposed toy model of earthquakes. An exact solution of the set of
equations describing stationary state of Random Domino Automaton in
"inverse-power" case is presented. A link with Motzkin numbers allows to
present explicit form of asymptotic behaviour of the automaton.Comment: short pape
On pattern structures of the N-soliton solution of the discrete KP equation over a finite field
Full text linkThe existence and properties of coherent pattern in the multisoliton
solutions of the dKP equation over a finite field is investigated. To that end,
starting with an algebro-geometric construction over a finite field, we derive
a "travelling wave" formula for -soliton solutions in a finite field.
However, despite it having a form similar to its analogue in the complex field
case, the finite field solutions produce patterns essentially different from
those of classical interacting solitons.Comment: 12 pages, 3 figure
On Mechanistic Explanation of the Shape of the Universal Curve of Earthquake Recurrence Time Distributions
No full textAlgebro-Geometric Solution of the Discrete KP Equation over a Finite Field out of a Hyperelliptic Curve
No full text10 years after "Appel de Blois" : academic debate, Institute of History, PoznaĆ University, November 13th 2018
No full textW debacie udziaĆ wziÄli: prof. dr hab. Ewa DomaĆska, dr hab. prof. UJ Barbara Klich-Kluczewska, prof. dr hab. Anna Landau-Czajka, prof. dr hab. StanisĆaw Jankowiak, prof. dr hab. Krzysztof Ruchniewicz, dr hab. prof. UAM Konrad BiaĆecki, dr Mariusz Menz (moderacja
