Exploding Markov operators
نویسندگان
چکیده
منابع مشابه
Markov Chains for Promotion Operators
We consider generalizations of Schützenberger’s promotion operator on the set L of linear extensions of a finite poset. This gives rise to a strongly connected graph on L. In earlier work [AKS12], we studied promotion-based Markov chains on these linear extensions which generalizes results on the Tsetlin library. We used the theory of R-trivial monoids in an essential way to obtain explicitly t...
متن کاملPotential Operators for Markov Processes
Yosida's definition of potential operators for semigroups [17] makes it possible to deal with transient Markov processes and a class of recurrent Markov processes in a unified operator theoretical way. In this paper, we prove some general properties of his potential operators, show which Markov processes admit the potential operators, and investigate the cases of processes with stationary indep...
متن کاملExploding vesicles
While studying fatty acid vesicles as model primitive cell membranes, we encountered a dramatic phenomenon in which light triggers the sudden rupture of micron-scale dye-containing vesicles, resulting in rapid release of vesicle contents. We show that such vesicle explosions are caused by an increase in internal osmotic pressure mediated by the oxidation of the internal buffer by reactive oxyge...
متن کاملMarkov Semigroups and Groups of Operators
We consider different realizations of the operators Lθ,a u(x) := xu(x) + (ax + θx)u(x), θ ∈ R, a ∈ R, acting on suitable spaces of real valued continuous functions. The main results deal with the existence of Feller semigroups generated by Lθ,a and the representation Lθ,a = G 2 a + θGa, where Gau = xu, 0 ≤ a ≤ 1, generates a (not necessarily strongly continuous) group. Explicit formulas of the ...
متن کاملA Note on Compact Markov Operators
Let (X,P ) be an irreducible, random walk on the state space X which is at most countable. We suppose that the (usually infinite) stochastic matrix P describes a Markov chain {Zn}n∈N defined on a probability space (Ω,F ,P) with transition probabilities p(x, y) := P[Zn+1 = y|Zn = x] homogeneous in time. Besides we consider the n-step transition probabilities {p(x, y)}x,y∈X which represent the st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Positivity
سال: 2020
ISSN: 1385-1292,1572-9281
DOI: 10.1007/s11117-020-00739-9