Remarks on the zero-one law
Sur les théorèmes de Hewitt-Savage et de de Finetti
The law generalized for non-denumerable families of events and of -algebras of events
The law of the iterated logarithm for weakly dependent Hilbert space valued random variables.
The zero-one law for planar random walks in i.i.d. random environments revisited.
The Zero-one law for Products of Internal *-finitely Additive Probabiltty Spaces
Threshold phenomena on product spaces: BKKKL revisited (once more).
Une loi de zéro-un pour une classe de mesures sur les groupes
Une remarque sur le lemme de Borel-Cantelli
Weak* convergence of iterates of Lasota-Mackey-Tyrcha operators
Zero One Laws for Probability Measures on Locally Convex Spaces.
Zero-one law for subgroups of paths of group-valued stochastic processes
Zero-one laws for Gaussian measures on metric abelian groups
Zero-one laws for graphs with edge probabilities decaying with distance. Part II
Let Gₙ be the random graph on [n] = 1,...,n with the probability of i,j being an edge decaying as a power of the distance, specifically the probability being , where the constant α ∈ (0,1) is irrational. We analyze this theory using an appropriate weight function on a pair (A,B) of graphs and using an equivalence relation on B∖A. We then investigate the model theory of this theory, including a “finite compactness”. Lastly, as a consequence, we prove that the zero-one law (for first order logic)...
Zero-one laws for graphs with edge probabilities decaying with distance. Part I
Let Gₙ be the random graph on [n] = 1,...,n with the possible edge i,j having probability for j ≠ i, i+1, i-1 with α ∈ (0,1) irrational. We prove that the zero-one law (for first order logic) holds..
"Zero-two'' law for conservative Markov operators
О лемме Бореля-Кантелли
Принцип сходимости "почти всюду" в группах Ли
Эргодичность и устойчивость многоканальных систем массового обслуживания с ограниченным временем ожидания