OOIR: Observatory of International Research

Papers

(The median citation count of Infinite Dimensional Analysis Quantum Probability and Related Topics is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)

Article	Citations
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	10
Quantum properties of classical Pearson random variables	7
Twisted convolution quantum information channels, one-parameter semigroups and their generators	6
Stochastic Burgers Equation Driven by a Hermite Sheet with Additive Noise Existence, Uniqueness, and Regularity	6
Characterizations of tracial functionals on C∗-algebras	6
Author index (Vol. 27)	5
Partial isometries between Hilbert modules and their compositions	5
Preface	5
Author index (Vol. 28)	4
Functions with image in a strip	4
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	4
On the direct and indirect influence of Prof. K. R. Parthasarathy on my game theoretic research career	4
From the Choi formalism in infinite dimensions to unique decompositions of generators of completely positive dynamical semigroups	4
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)	4
Continuous-time Markov processes on infinite dimensional hypercube	3
The average values of a kind of functionals in LP and concentration without measure	3
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	3
A Lévy–Khinchin formula on Olshanski spherical pairs	3
A Feynman–Kac approach for the spatial derivative of the solution to the Wick stochastic heat equation driven by time homogeneous white noise	3
Causal perturbative QFT and white noise	3
Generalized fractional Lévy–Meixner Appell polynomials in infinite dimensions	3
Remembering Prof. K. R. Parthasarathy (25 June 1936–14 June 2023)	3
Preface	3
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	3
Gaussian quantum Markov semigroups of weak coupling limit type	3

On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	2
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	2
New class of Gibbs measures for two-state hard-core model on a Cayley tree	2
Generalized Segal–Bargmann transform for Poisson distribution revisited	2
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	2
A new construction of shearlets	2
Ergodic theorems for higher order Cesàro means	2
Non-commutative stochastic processes with independent increments	2
Meixner random variables and their quantum operators	2
Effects of permutation functions on woven and non-woven frames	1
Connes’ bicentralizer problem for mixed q-deformed Araki–Woods von Neumann algebras	1
Perturbation of discrete-time quantum walk	1
Algebraic groups in non-commutative probability theory revisited	1
Conditionally monotone cumulants via shuffle algebra	1
On stopping rules for tree-indexed quantum Markov chains	1
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	1
Quantum dynamical semigroups induced by Gaussian generalized Mehler semigroups	1
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion	1
Quasi-invariant states	1
Relative entropy via distribution of observables	1
Author index (Vol. 26)	1
Motzkin path decompositions of functionals in noncommutative probability	1
IDH-Anderson model and density of states measure	1
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	1
Combinatorial aspects of weighted free Poisson random variables	1
A note on matrix-valued orthonormal bases over LCA groups	0
Dissipative dynamics for infinite lattice systems	0
Noncommutative quantum decomposition of Gegenbauer white noise process	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Free CIR processes	0
Ergodic decomposition in the space of unital completely positive maps	0
An invitation to some of K. R. Parthasarathy’s writings: Part I	0
Block quantum dynamical semigroups of completely positive definite kernels	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
Rates of convergence for laws of the spectral maximum of free random variables	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0
Higher energy state approximations in the “Many interacting worlds” model	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	0
Hidden quantum Markov processes	0
Fundamentals of classical and quantum stochastic filtering theory	0
Hamiltonian of free field on infinite-dimensional hypercube	0
An invitation to some of K. R. Parthasarathy’s writings: Part II	0
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
On the rate of convergence to the Boolean extreme value distribution under the von Mises condition	0
On irreducibility of Gaussian quantum Markov semigroups	0
Quantum Wasserstein distance of order 1 between channels	0
A note on generalized commuting contractions, and isometries	0

Quantum analogues of white noise delta functions	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
A new numerical scheme for Itô stochastic differential equations based on Wick-type Wong–Zakai arguments	0
Ground state of one-dimensional Fermion–Phonon systems	0
Operator-valued Gaussian processes and their covariance kernels	0
Anticipating quantum stochastic integrals	0
Quasi-mixing limits, mean-ratio quasi-ergodicity and Q-processes of Markov processes	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
Two-dimensional quantum Bernoulli process and the related central limit theorem	0
Theory of Q-commuting contractions: Joint reducing subspaces and orthogonal decompositions	0
Author index (Vol. 25)	0
A note on invariant states of Gaussian quantum Markov semigroups	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
A white noise approach to stochastic currents of Brownian motion	0
Some reminiscences about KRP, my dad, teacher and guide in life	0
The Strong Law of Large Numbers for random semigroups with unbounded generatorson uniformly smooth Banach spaces	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	0
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
From Hamiltonian systems to compressible Euler equation driven by additive Hölder noise	0
Preface	0
Quantum symmetry in multigraphs (part II)	0
Matrix-valued Schrödinger operators over finite adeles	0
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Stochastic approximation in infinite dimensions	0
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	0
Regularity of multiplicative processes on infinite-dimensional Lie groups	0
On the non-commutative multifractional Brownian motion	0
The Stockwell transform on locally compact abelian groups	0
Bi-free probability theory and reflection positivity	0
Positivity of Gibbs states on distance-regular graphs	0
An etude on a renormalization	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
Stochastic quantization of laser propagation models	0
Operator-valued infinitesimal multiplicative convolutions	0
Existence and uniqueness of stochastic PDEs associated with the forward equations: An approach using alternate norms	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
On near-martingales and a class of anticipating linear stochastic differential equations	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
Universality theorems for asymmetric spaces	0
Algebraic Hidden processes and Hidden Markov processes	0
A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
Finitely generated weakly monotone C∗-algebra	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
A note on the rate of convergence in the Boolean central limit theorem	0
Characterization of Gaussian quantum Markov semigroups	0
On stability of distance under some tensor products and some calculations	0
A few remarks on intermediate subalgebras of an inclusion of C∗-algebras	0
Strengthened large deviation principle via pathwise regularity for anisotropic stochastic primitive equations	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0