Search Results - "Járai, Antal"

On the state of the second part of Hilbert’s fifth problem by Járai, Antal

“…In the second part of his fifth problem Hilbert asks for functional equations “In how far are the assertions which we can make in the case of differentiable…”
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Sandpile models by Járai, Antal A.

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Asymptotics of the optimum in discrete sequential assignment by Járai, Antal A.

“…We consider the stochastic sequential assignment problem of Derman et al. (1972) corresponding to a discrete distribution supported on a finite set of points…”
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On the tail of the branching random walk local time by Angel, Omer, Hutchcroft, Tom, Járai, Antal

“…Consider a critical branching random walk on Z d , d ≥ 1 , started with a single particle at the origin, and let L ( x ) be the total number of particles that…”
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Mean-field avalanche size exponent for sandpiles on Galton–Watson trees by Járai, Antal A., Ruszel, Wioletta M., Saada, Ellen

“…We show that in Abelian sandpiles on infinite Galton–Watson trees, the probability that the total avalanche has more than t topplings decays as t - 1 / 2 . We…”
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On Weak Generalized Stability of Random Variables via Functional Equations by Jarczyk, Witold, Járai, Antal, Matkowski, Janusz, Misiewicz, Jolanta

“…In this paper we characterize random variables which are stable but not strictly stable in the sense of generalized convolution. We generalize the results…”
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PHASE TRANSITION IN A SEQUENTIAL ASSIGNMENT PROBLEM ON GRAPHS by Járai, Antal A.

“…We study the following sequential assignment problem on a finite graph G = (V, E). Each edge e ∈ E starts with an integer value ne ≥ 0, and we write n = Σe∈E…”
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Asymptotic Height Distribution in High-Dimensional Sandpiles by Járai, Antal A., Sun, Minwei

“…We give an asymptotic formula for the single-site height distribution of Abelian sandpiles on Z d as d → ∞ , in terms of Poisson ( 1 ) probabilities. We…”
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Approaching Criticality via the Zero Dissipation Limit in the Abelian Avalanche Model by Járai, Antal A., Redig, Frank, Saada, Ellen

“…The discrete height abelian sandpile model was introduced by Bak, Tang, Wiesenfeld and Dhar as an example for the concept of self-organized criticality. When…”
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A 0–1 law for multiplicative functional equations by Jarai, Antal

“…The 0–1 principle stating that for the multiplicative functional equation ∏ i = 1 m f i ( x i ) = ∏ j = 1 n g j ( y j ) satisfied almost everywhere one of the…”
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Inequalities for critical exponents in $d$-dimensional sandpiles by Bhupatiraju, Sandeep, Hanson, Jack, Járai, Antal A.

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Regularity properties of measurable functions satisfying a multiplicative type functional equation almost everywhere by Jarai, Antal

“…For functional equations originating from probability theory the equation is satisfied for the density functions only almost everywhere by the nature of the…”
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Electrical Resistance of the Low Dimensional Critical Branching Random Walk by Járai, Antal A., Nachmias, Asaf

“…We show that the electrical resistance between the origin and generation n of the incipient infinite oriented branching random walk in dimensions d  < 6 is O (…”
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How close is the nearest node in a wireless network? by Middleton, Amy L L, Járai, Antal A, Dawes, Jonathan H P, Briggs, Keith

“…Abstract The ability of small-cell wireless networks to self-organize is crucial for improving capacity and performance in modern communication networks. This…”
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Random Walk on the Incipient Infinite Cluster for Oriented Percolation in High Dimensions by Barlow, Martin T., Járai, Antal A., Kumagai, Takashi, Slade, Gordon

“…We consider simple random walk on the incipient infinite cluster for the spread-out model of oriented percolation on . In dimensions d > 6, we obtain bounds on…”
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The dice-and-numbers game by Járai, Antal A.

“…In maths lessons in secondary school, on certain occasions my teacher entertained our class with the following game. Each player starts with an empty 2 × 5…”
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Minimal Configurations and Sandpile Measures by Járai, Antal A., Werning, Nicolás

“…We give a new simple construction of the sandpile measure on an infinite graph G , under the sole assumption that each tree in the Wired Uniform Spanning…”
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Infinite volume limit of the Abelian sandpile model in dimensions d ≥  3 by Járai, Antal A., Redig, Frank

“…We study the Abelian sandpile model on . In d ≥  3 we prove existence of the infinite volume addition operator, almost surely with respect to the infinite…”
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Anchored burning bijections on finite and infinite graphs by Gamlin, Samuel, Járai, Antal

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On the measurable solutions of a functional equation by Jarai, Antal

“…The measurable solutions of the functional equation are considered and it is proved that they are continuous…”
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