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 2022-06-01 to 2026-06-01.)

Article	Citations
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	10
Quantum properties of classical Pearson random variables	7
Characterizations of tracial functionals on C∗-algebras	6
Stochastic Burgers equation driven by a Hermite sheet with additive noise: Existence, uniqueness, and regularity	6
Twisted convolution quantum information channels, one-parameter semigroups and their generators	6
Preface	5
Author index (Vol. 27)	5
Partial isometries between Hilbert modules and their compositions	5
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
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
Causal perturbative QFT and white noise	3
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
Gaussian quantum Markov semigroups of weak coupling limit type	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

Generalized Segal–Bargmann transform for Poisson distribution revisited	2
Ergodic theorems for higher order Cesàro means	2
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	2
New class of Gibbs measures for two-state hard-core model on a Cayley tree	2
Meixner random variables and their quantum operators	2
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	2
A new construction of shearlets	2
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	2
Non-commutative stochastic processes with independent increments	2
Author index (Vol. 26)	1
Motzkin path decompositions of functionals in noncommutative probability	1
Global existence and non-existence of weak solutions for non-local stochastic semilinear reaction-diffusion equations driven by a fractional noise	1
Conditionally monotone cumulants via shuffle algebra	1
Perturbation of discrete-time quantum walk	1
Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations	1
Connes’ bicentralizer problem for mixed q-deformed Araki–Woods von Neumann algebras	1
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	1
Combinatorial aspects of weighted free Poisson random variables	1
Algebraic groups in non-commutative probability theory revisited	1
On stopping rules for tree-indexed quantum Markov chains	1
Effects of permutation functions on woven and non-woven frames	1
IDH-Anderson model and density of states measure	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
Relative entropy via distribution of observables	1
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
From Hamiltonian systems to compressible Euler equation driven by additive Hölder noise	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
On near-martingales and a class of anticipating linear stochastic differential equations	0
An invitation to some of K. R. Parthasarathy’s writings: Part II	0
Author index (Vol. 25)	0
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	0
On irreducibility of Gaussian quantum Markov semigroups	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Quantum analogues of white noise delta functions	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Preface	0
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	0
The Stockwell transform on locally compact abelian groups	0
Strengthened large deviation principle via pathwise regularity for anisotropic stochastic primitive equations	0
A note on generalized commuting contractions, and isometries	0
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
Existence and uniqueness of stochastic PDEs associated with the forward equations: An approach using alternate norms	0
Stochastic quantization of laser propagation models	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
A note on invariant states of Gaussian quantum Markov semigroups	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0

A note on matrix-valued orthonormal bases over LCA groups	0
An etude on a renormalization	0
Noncommutative quantum decomposition of Gegenbauer white noise process	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
On the non-commutative multifractional Brownian motion	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
Algebraic Hidden processes and Hidden Markov processes	0
Matrix-valued Schrödinger operators over finite adeles	0
Higher energy state approximations in the “Many interacting worlds” model	0
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	0
Positivity of Gibbs states on distance-regular graphs	0
Universality theorems for asymmetric spaces	0
Finitely generated weakly monotone C∗-algebra	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Free CIR processes	0
Quantum symmetry in multigraphs (part II)	0
Dissipative dynamics for infinite lattice systems	0
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Ground state of one-dimensional Fermion–Phonon systems	0
An invitation to some of K. R. Parthasarathy’s writings: Part I	0
Quantum Wasserstein distance of order 1 between channels	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
Theory of Q-commuting contractions: Joint reducing subspaces and orthogonal decompositions	0
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	0
A few remarks on intermediate subalgebras of an inclusion of C∗-algebras	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
A new numerical scheme for Itô stochastic differential equations based on Wick-type Wong–Zakai arguments	0
Hidden quantum Markov processes	0
Operator-valued Gaussian processes and their covariance kernels	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Ergodic decomposition in the space of unital completely positive maps	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
The strong law of large numbers for random semigroups with unbounded generators on uniformly smooth Banach spaces	0
Characterization of Gaussian quantum Markov semigroups	0
Some reminiscences about KRP, my dad, teacher and guide in life	0
A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise	0
Regularity of multiplicative processes on infinite-dimensional Lie groups	0
On the rate of convergence to the Boolean extreme value distribution under the von Mises condition	0
Fundamentals of classical and quantum stochastic filtering theory	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
A white noise approach to stochastic currents of Brownian motion	0
A note on the rate of convergence in the Boolean central limit theorem	0
Stochastic approximation in infinite dimensions	0
On stability of distance under some tensor products and some calculations	0
Anticipating quantum stochastic integrals	0
Two-dimensional quantum Bernoulli process and the related central limit theorem	0
Quasi-mixing limits, mean-ratio quasi-ergodicity and Q-processes of Markov processes	0
Operator-valued infinitesimal multiplicative convolutions	0
Rates of convergence for laws of the spectral maximum of free random variables	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
Quasi-invariant states	0
Block quantum dynamical semigroups of completely positive definite kernels	0
Bi-free probability theory and reflection positivity	0