Hydrodynamic limits of coalescent processes and minimal spanning trees with applications in mathematical biology

• Grant number: 18/07826-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: January 01, 2019 - May 15, 2019
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Anatoli Iambartsev
• Grantee: Anatoli Iambartsev
• Visiting researcher: Yevgeniy Kovchegov
• Visiting researcher institution: Oregon State University (OSU), United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 17/10555-0 - Stochastic modeling of interacting systems, AP.TEM

Abstract

During Prof. Yevgeniy Kovchegov's visit to the University of São Paulo, we will work on extending our method that utilizes the hydrodynamic limits of coalescent processes for finding the mean length of the minimal spanning trees in random graphs. Also, we will examine the gelation phenomenon in the Marcus-Lushnikov dynamics with multidimensional weight vectors. We will test the usability of the coalescent processes with multidimensional weight vectors as models of genetic drift viewed backwards in time. Finally, we will continue our joint work that examines so called 'unexpected correlations' in biological networks using the methods of statistical mechanics, thus extending our previous results. (AU)

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CHUNIKHINA, EVGENIA; LOGAN, PAUL; KOVCHEGOV, YEVGENIY; YAMBARTSEV, ANATOLY; MONDAL, DEBASHIS; MORGUN, ANDREY. The C-SHIFT Algorithm for Normalizing Covariances. IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, v. 20, n. 1, p. 11-pg., 2023-01-01. (18/07826-5, 18/14952-7, 17/10555-0)

KOVCHEGOV, YEVGENIY. A New Life of Pearson's Skewness. JOURNAL OF THEORETICAL PROBABILITY, JAN 2022. (18/07826-5)

KOVCHEGOV, YEVGENIY; ZALIAPIN, ILYA. Random self-similar trees: A mathematical theory of Horton laws. PROBABILITY SURVEYS, v. 17, p. 1-211, 2020. (18/07826-5)

KOVCHEGOV, YEVGENIY; ZALIAPIN, ILYA. Dynamical Pruning of Rooted Trees with Applications to 1-D Ballistic Annihilation. Journal of Statistical Physics, v. 181, n. 2, JUL 2020. (18/07826-5)