Critical Parameter of the Frog Model on Homogeneous Trees with Geometric Lifetime

نویسندگان

چکیده

We consider the frog model with geometric lifetime (parameter $1-p$) on homogeneous trees of dimension $d$. In 2002, \cite{alves2002-2} proved that there exists a critical parameter $p_c\in(0,1)$ above which infinitely many frogs are activated positive probability, and they gave lower upper bounds for $p_c$. Since then, literature this focussed refinements bound. present paper we improve $p_c$ \emph{on both sides}. also provide discussion comparing their proofs. Our proofs based coupling.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

the effect of using critical discourse analytical tools on the improvement of the learners level of critical thinking in reading comprehension

?it is of utmost priority for an experienced teacher to train the mind of the students, and enable them to think critically and correctly. the most important question here is that how to develop such a crucial ability? this study examines a new way to the development of critical thinking utilizing critical discourse analytical tools. to attain this goal, two classes of senior english la...

the effect of using model essays on the develpment of writing proficiency of iranina pre-intermediate efl learners

abstract the present study was conducted to investigate the effect of using model essays on the development of writing proficiency of iranian pre-intermediate efl learners. to fulfill the purpose of the study, 55 pre- intermediate learners of parsa language institute were chosen by means of administering proficiency test. based on the results of the pretest, two matched groups, one as the expe...

Geometric Programming with Stochastic Parameter

Geometric programming is efficient tool for solving a variety of nonlinear optimizationproblems. Geometric programming is generalized for solving engineering design. However,Now Geometric programming is powerful tool for optimization problems where decisionvariables have exponential form.The geometric programming method has been applied with known parameters. However,the observed values of the ...

متن کامل

the impact of generative learning strategy use on efl learners’ reading achievement and critical thinking

این پژوهش کوشیده است تأثیر به کارگیری راهبردهای زایا را بر پیشرفت و بسندگی در خواندن و درک مطلب و نیز بر تفکر انتقادی زبان آموزان انگلیسی را بررسی کند. در این پژوهش تعداد 46 دانش آموز دختر در مقطع متوسطه اول به صورت تصادفی انتخاب وبه دو گروه تجربی و شاهد با تعداد دانش آموزان مساوی در هر گروه تقسیم شدند. به هر دو گروه سه داستان کوتاه به عنوان موضوع خواندن برای کلاس داده شد. به گروه تجربی درابتدا...

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Statistical Physics

سال: 2022

ISSN: ['0022-4715', '1572-9613']

DOI: https://doi.org/10.1007/s10955-022-03049-4