In this paper we consider a stochastic Keller-Segel type equation, perturbed with random noise. We establish that for special types of pertubations (i.e. in divergence form), the equation has global weak solution small initial data. Furthermore, if noise is not form, show finite time blowup (with nonzero probability) any The results on continuous dependence solutions perturbations, alongside ex...

We have earlier shown by construction that a proposition can have a well-defined nonzero probability, even if it is justified by an infinite probabilistic regress. We thought this to be an adequate rebuttal of foundationalist claims that probabilistic regresses must lead either to an indeterminate, or to a determinate but zero probability. In a comment, Frederik Herzberg has argued that our cou...

Olav Benjamin Vassend proposes two solutions to the “interpretive problem” of assigning nonzero probabilities hypotheses that are known be false. He argues verisimilitude interpretation (probability expresses degree belief hypothesis is closest truth) and counterfactual conditional on a false supposition) equivalent. While Vassend’s intuition about these basically correct, technical details his...

We discuss the security of the block cipher Camellia against differential attack and linear attack. The security of Camellia against these attacks has been evaluated by upper bounds of maximum differential characteristic probability (MDCP) and maximum linear characteristic probability (MLCP) calculated by the least numbers of active S-boxes which are found by a search method[2]. However, we fou...

The problem of groundwater contamination in an aquifer is one with many uncertainties. Properly quantifying these uncertainties is essential in order to make reliable probabilistic-based predictions and decisions regarding remediation strategies. In this work, a measure-theoretic framework is employed to quantify uncertainties in a simplified groundwater contamination transport model. Given unc...

Assessing the impact of future anthropogenic carbon emissions is currently impeded by uncertainties in our knowledge of equilibrium climate sensitivity to atmospheric carbon dioxide doubling. Previous studies suggest 3 kelvin (K) as the best estimate, 2 to 4.5 K as the 66% probability range, and nonzero probabilities for much higher values, the latter implying a small chance of high-impact clim...

We investigate the final state of zero-temperature Ising ferromagnets that are endowed with single-spin-flip Glauber dynamics. Surprisingly, the ground state is generally not reached for zero initial magnetization. In two dimensions, the system reaches either a frozen stripe state with probability approximately 1/3 or the ground state with probability approximately 2/3. In greater than two dime...

Consider a polynomial of large degree n whose coefficients are independent, identically distributed, non-degenerate random variables having zero mean and finite moments of all orders. We show that such a polynomial has exactly k real zeros with probability n−b+o(1) as n → ∞ through integers of the same parity as the fixed integer k ≥ 0. In particular, the probability that a random polynomial of...

A. M. Youssef and S. E. Tavares Department Of Electrical and Computer Engineering Queen’s University Kingston, Ontario, Canada, K7L 3N6 Phone : (613) 545–2945 Fax : (613) 545–6615 email : [email protected] Indexing terms: Cryptography, Private-key cryptosystems, Substitution boxes, Combinatorics. Abstract Nonlinearity is a crucial requirement for the substitution boxes in secure block ciphe...

We explore the fundamental origin of quantum advantage behind random access code. propose new temporal inequalities compatible with noninvasive-realist models and show that any nonzero $n\ensuremath{\mapsto}1$ code in presence shared randomness is equivalent to violation corresponding inequality. As a consequence this connection, we also prove maximal success probability can be obtained when in...