Joseph M. Whitmeyer

University of North Carolina at Charlotte

75Publications

13H-index

790Citations

Publications 75

Newest

#1Mirsad Hadzikadic (UNCC: University of North Carolina at Charlotte)H-Index: 8

#2Joseph M. Whitmeyer (UNCC: University of North Carolina at Charlotte)H-Index: 13

#1Mariya BessonovH-Index: 2

#2Stanislav MolchanovH-Index: 28

Last.Joseph M. WhitmeyerH-Index: 13

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#1Elena ChernousovaH-Index: 2

#2Yaqin FengH-Index: 1

Last.Joseph M. WhitmeyerH-Index: 13

view all 4 authors...

We consider the time evolution of the lattice subcritical Galton-Watson model with immigration. We prove Carleman type estimation for the cumulants in the simple case (binary splitting) and show the existence of a steady state. We also present the formula of the limiting distribution in a particular solvable case.

Steady state for the subcritical contact branching random walk on the lattice with the arbitrary number of offspring and with immigration.

#1Elena ChernousovaH-Index: 2

#2Yaqin FengH-Index: 1

Last.Joseph M. WhitmeyerH-Index: 13

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We consider the subcritical contact branching random walk on Zd in continuous time with the arbitrary number of offspring and with immigration. We prove the existence of the steady state (statistical equilibrium).

#1Joseph M. Whitmeyer (UNCC: University of North Carolina at Charlotte)H-Index: 13

#1Russell S. Gonnering (ASU: Arizona State University)H-Index: 20

#2Mirsad Hadzikadic (UNCC: University of North Carolina at Charlotte)H-Index: 8

Last.Joseph M. Whitmeyer (UNCC: University of North Carolina at Charlotte)H-Index: 13

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The relationship between Health Factors and Health Outcomes is a topic of great practical importance in the understanding of the genesis of and solution to the problem of health disparities. We have investigated the data compiled by the Population Health Institute of the University of Wisconsin and contained within the Robert Wood Johnson Foundation's "County Health Rankings and Roadmaps" with special reference to Arizona. We found that the relationships are complex, non-linear and in many insta...

Stationary distributions in Kolmogorov-Petrovski- Piskunov-type models with an infinite number of particles

#1Stanislav Molchanov (HSE: National Research University – Higher School of Economics)H-Index: 28

#2Joseph M. Whitmeyer (UNCC: University of North Carolina at Charlotte)H-Index: 13

A model of population dynamics in continuous time on the lattice contains the Kolmogorov-Petrovski-Piskunov equation as a special case. A limit distribution exists. The first three moments and the correlation function are expressed.

#1Stanislav Molchanov (UNCC: University of North Carolina at Charlotte)H-Index: 28

#2Joseph M. Whitmeyer (UNCC: University of North Carolina at Charlotte)H-Index: 13

We analyze the covariance operator from a Central Limit Theorem for functionals on countable ergodic Markov chains. We provide an algorithm for characterizing the covariance operator and determining its kernel. We present examples, including countable and finite Markov chains.

#1Dan Han (UNCC: University of North Carolina at Charlotte)H-Index: 1

#2Stanislav Molchanov (UNCC: University of North Carolina at Charlotte)H-Index: 28

Last.Joseph M. Whitmeyer (UNCC: University of North Carolina at Charlotte)H-Index: 13

view all 3 authors...

The paper contains a complete analysis of the Galton–Watson models with immigration, including the processes in the random environment, stationary or nonstationary ones. We also study the branching random walk on \(Z^{d}\) with immigration and prove the existence of the limits for the first two correlation functions.

#1Stanislav Molchanov (UNCC: University of North Carolina at Charlotte)H-Index: 28

#2Joseph M. Whitmeyer (UNCC: University of North Carolina at Charlotte)H-Index: 13

Recent progress has been made on spatial mathematical models of population processes. We review a few of these: the spatial Galton–Watson model, modern versions that add migration and immigration and thereby may avoid the increasing concentration of population into an ever smaller space (clusterization), models involving a random environment, and two versions of the Bolker–Pakala model, in which mortality (or birth rate) is affected by competition.

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