works on

From the 1 of 5 linked papers with an AI index.

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5 papers

math.PR2026

Extinction and Survival in an Interval-Activation Frog Model on \mathbb{Z} with Random Survival Parameters and Symmetric Random Walks

Gustavo Oshiro de Carvalho, Fábio Prates Machado, José Hermenegildo Ramírez-González

The paper analyzes an interval‑activation frog model on the integer line where frogs perform symmetric random walks with random lifetimes, establishing precise survival and extinct…

math.PR2026

Improved Survival Results for the One-Dimensional Renewal Contact Process

Gustavo O. de Carvalho, Lucas R. de Lima

The renewal contact process is a non-Markovian variant of the classical contact process in which recoveries are governed by independent renewal processes with interarrival distribu…

math.PR2026

The Frog Model on with Discrete Weibull Lifetimes and Random Parameter

J. H. Ramírez González, Gustavo O. Carvalho, Fábio P. Machado

We study the frog model on with particle wise discrete Weibull lifetimes. Each particle has an i.i.d. survival parameter ; conditionally on , its lif…

math.PR2025

The Frog Model on with General Random Survival Parameter

Gustavo O. Carvalho, Fábio P. Machado, J. Hermenegildo R. González

We study the frog model on with particle-wise random geometric lifetimes: each particle has a survival parameter sampled i.i.d., whose density near sa…

math.PR2025

Frog model on with random survival parameter

Gustavo O. de Carvalho, Fábio P. Machado

We study the frog model on \( \mathbb{Z} \) with geometric lifetimes, introducing a random survival parameter. Active and inactive particles are placed at the vertices of \( \mathb…