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Immune Modulation in the Tumor Microenvironment: Bifurcation Analysis of Cancer-CTL-Monocyte Dynamics. [PDF]
Bull Math BiolHernandez-Lopez E, Milne R, Wang X.
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Strong Decay of Correlations for Gibbs States in Any Dimension. [PDF]
J Stat PhysBluhm A, Capel Á, Pérez-Hernández A.
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Bifurcations and optimal control in Nipah virus epidemiology. [PDF]
PLoS OneHaque Z +4 more
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Local limit theorem for directed polymers beyond the $L^{2}$-phase
Journal of the European Mathematical Society (Print), 2023We consider the directed polymer model in the weak disorder phase under the assumption that the partition function is L^{p} -bounded for some p>1+{2}/d . We prove that the point-to-point partition function can be approximated by two point-
S. Junk
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The local limit theorem on nilpotent Lie groups
Probability theory and related fields, 2018A local limit theorem is proven on connected, simply connected nilpotent Lie groups, for a class of generating measures satisfying a moment condition and a condition on the characteristic function of the abelianization.
Robert D. Hough
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Local Limit Theorems for Compound Discrete Distributions
Theory of Probability & Its Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Local limit theorem in negative curvature
Duke mathematical journal, 2014Consider the heat kernel $p(t,x,y)$ on the universal cover $X$ of a Riemannian manifold $M$ of negative curvature. We show the local limit theorem for $p$ : $$\lim_{t \to \infty} t^{3/2}e^{\lambda_0 t} p(t,x,y)=C(x,y),$$ where $\lambda_0$ is the bottom ...
Franccois Ledrappier, Seonhee Lim
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A Central Limit Theorem for Almost Local Additive Tree Functionals
Algorithmica, 2018An additive functional of a rooted tree is a functional that can be calculated recursively as the sum of the values of the functional over the branches, plus a certain toll function.
D. Ralaivaosaona +2 more
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1975
We consider a sequence of independent random variables {X n ; n = 1, 2,…). We shall suppose for simplicity that these variables have a common distribution with zero mean and nonzero variance σ2 < ∞. If \({S_n} = \sum\limits_{j = 1}^n {{X_j}}\) and \({F_n}\left( x \right) = P\left( {{S_n} < x\sigma \sqrt n } \right)\), the assumptions imply that F n (x)
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We consider a sequence of independent random variables {X n ; n = 1, 2,…). We shall suppose for simplicity that these variables have a common distribution with zero mean and nonzero variance σ2 < ∞. If \({S_n} = \sum\limits_{j = 1}^n {{X_j}}\) and \({F_n}\left( x \right) = P\left( {{S_n} < x\sigma \sqrt n } \right)\), the assumptions imply that F n (x)
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Local Limit Theorems for Large Deviations
Theory of Probability & Its Applications, 1957Let $(X_j ),j = 1,2, \cdots $, be a sequence of independent random variables with the distribution functions $V_j (x)$. We assume the existence of ${\bf D}X_j = \sigma _j^2 ,s_n^2 = \sum\nolimits_{j = 1}^n {\sigma _j^2 } ,{\bf E}X_j = 0,j = 1,2, \cdots $. We put \[ Z_n = \sum\limits_{j = 1}^n X_j /s_n .
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