Trochlea 发表于 2025-4-1 04:21:32
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Non-Optimality of Invaded Geodesics in 2d Critical First-Passage Percolation,., consider the induced pseudometric (passage time) .(., .) for vertices ., .. It was shown in [.] that the growth of the sequence . (where .(.) = [−., .].) has the same order (up to a constant factor) as the sequence .. This second passage time is the minimal total weight of any path from 0 to .(.)Fretful 发表于 2025-4-1 13:38:28
Empirical Spectral Distributions of Sparse Random Graphs,e spectrum of the analogous random simple graph. We show that, when the empirical spectral distribution (.) of . converges weakly to a limit ., under mild moment assumptions (e.g., ..∕.. are i.i.d. with a finite second moment), the . of the normalized adjacency matrix converges in probability to .,Infuriate 发表于 2025-4-1 18:16:28
Upper Bounds on the Percolation Correlation Length,e that the correlation length, both below and above criticality, is bounded from above by .. Improving on this bound would be a further step towards the conjecture that there is no infinite cluster at criticality on . for every . ≥ 2.爆米花 发表于 2025-4-1 21:38:10
Structural Properties of Conditioned Random Walks on Integer Lattices with Random Local Constraintsbefore its death. We introduce an auxiliary “core” process that has a regenerative structure and plays a key role in our analysis. We obtain a number of representations for the distribution of the random walk in terms of the similar distribution of the “core” process. Based on that, we prove a numbe聪明 发表于 2025-4-2 00:03:26
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Motion Control: From Keyframe to Task-Level AnimationWe know from Computer Graphics courses that 2D and 3D graphical objects may be constructed using geometric modeling techniques. In a 3D space, scenes are viewed using synthetic or virtual cameras and they may be lighted by synthetic light sources.腐败 发表于 2025-4-2 10:34:29
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