Random number generators are widely used in practical algorithms. Examples include simulation, number theory (primality testing and integer factorization), fault tolerance, routing, cryptography, optimization by simulated annealing, and perfect hashing. Complexity theory usually considers the worst-case behaviour of deterministic algorithms, but it can also consider average-case behaviour if it is assumed that the input data is drawn randomly from a given distribution. Rabin popularised the idea of “probabilistic" algorithms, where randomness is incorporated into the algorithm instead of being assumed in the input data. Yao showed that there is a close connection between the complexity of probabilistic algorithms and the average-case compl...
1 Introduction Recently there has been exciting progress in our understanding of algorithmicrandomne...
Is it possible to determine what randomness is let alone measure and classify it? Can random number ...
UnrestrictedAn algorithm can be defined as a set of computational steps that transform the input to ...
Random number generators are widely used in practical algorithms. Examples include simulation, numbe...
Random number generators are widely used in practical algorithms. Examples include simulation, numbe...
In recent years, many probabilistic algorithms (i.e., algorithms that can toss coins) that run in po...
This dissertation explores the multifaceted interplay between efficient computation and probability ...
In the classical approach to pseudo-random number generators, a generator is considered to perform w...
In modern computer science, many problems are solved with the help of probabilistic algorithms. This...
I returned, and saw under the sun, that the race is not to the swift, nor the battle to the strong, ...
In the classical approach to pseudo-random number generators, a generator is considered to perform w...
In the classical approach to pseudo-random number generators, a generator is considered to perform w...
Probabilistic methods have become an integral part of theoretical computer science. Typically, the u...
In recent years, many probabilistic algorithms (i.e., algorithms that can toss coins) that run in po...
AbstractResearch conducted over the past fifteen years has amply demonstrated the advantages of algo...
1 Introduction Recently there has been exciting progress in our understanding of algorithmicrandomne...
Is it possible to determine what randomness is let alone measure and classify it? Can random number ...
UnrestrictedAn algorithm can be defined as a set of computational steps that transform the input to ...
Random number generators are widely used in practical algorithms. Examples include simulation, numbe...
Random number generators are widely used in practical algorithms. Examples include simulation, numbe...
In recent years, many probabilistic algorithms (i.e., algorithms that can toss coins) that run in po...
This dissertation explores the multifaceted interplay between efficient computation and probability ...
In the classical approach to pseudo-random number generators, a generator is considered to perform w...
In modern computer science, many problems are solved with the help of probabilistic algorithms. This...
I returned, and saw under the sun, that the race is not to the swift, nor the battle to the strong, ...
In the classical approach to pseudo-random number generators, a generator is considered to perform w...
In the classical approach to pseudo-random number generators, a generator is considered to perform w...
Probabilistic methods have become an integral part of theoretical computer science. Typically, the u...
In recent years, many probabilistic algorithms (i.e., algorithms that can toss coins) that run in po...
AbstractResearch conducted over the past fifteen years has amply demonstrated the advantages of algo...
1 Introduction Recently there has been exciting progress in our understanding of algorithmicrandomne...
Is it possible to determine what randomness is let alone measure and classify it? Can random number ...
UnrestrictedAn algorithm can be defined as a set of computational steps that transform the input to ...