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 2022-08-01 to 2026-08-01.)

Article	Citations
Characterizations of tracial functionals on C∗-algebras	7
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	7
Horvath's inequality unifies recent refinements of the Cauchy-Schwarz inequality	6
Twisted convolution quantum information channels, one-parameter semigroups and their generators	6
Quantum properties of classical Pearson random variables	6
Stochastic Burgers equation driven by a Hermite sheet with additive noise: Existence, uniqueness, and regularity	5
Linear fractional free stable motions and selfsimilar free stable processes	5
Partial isometries between Hilbert modules and their compositions	4
Author index (Vol. 27)	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
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	4
From the Choi formalism in infinite dimensions to unique decompositions of generators of completely positive dynamical semigroups	4
Preface	4
Functions with image in a strip	4
Continuous-time Markov processes on infinite dimensional hypercube	4
Remembering Prof. K. R. Parthasarathy (25 June 1936–14 June 2023)	3
The average values of a kind of functionals in LP and concentration without measure	3
State spaces on non-commutative unitary C*-algebras	3
On the direct and indirect influence of Prof. K. R. Parthasarathy on my game theoretic research career	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
A Lévy–Khinchin formula on Olshanski spherical pairs	3
Preface	3
Causal perturbative QFT and white noise	3

On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	2
New class of Gibbs measures for two-state hard-core model on a Cayley tree	2
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	2
Generalized Segal–Bargmann transform for Poisson distribution revisited	2
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	2
A new construction of shearlets	2
Ergodic theorems for higher order Cesàro means	2
Generalized fractional Lévy–Meixner Appell polynomials in infinite dimensions	2
Meixner random variables and their quantum operators	2
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	1
Nonlinear Monte Carlo methods with polynomial runtime for high-dimensional iterated nested expectations	1
Global existence and non-existence of weak solutions for non-local stochastic semilinear reaction–diffusion equations driven by a fractional noise	1
Quantum dynamical semigroups induced by Gaussian generalized Mehler semigroups	1
On stopping rules for tree-indexed quantum Markov chains	1
Non-commutative stochastic processes with independent increments	1
Relative entropy via distribution of observables	1
Quasi-invariant states for Amenable discrete groups	1
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	1
IDH-Anderson model and density of states measure	1
Motzkin path decompositions of functionals in noncommutative probability	1
Author index (Vol. 26)	1
Erratum to Finitely Generated Weakly Monotone C*-algebra	1
Perturbation of discrete-time quantum walk	1
Combinatorial aspects of weighted free Poisson random variables	1
Effects of permutation functions on woven and non-woven frames	1
Connes’ bicentralizer problem for mixed q-deformed Araki–Woods von Neumann algebras	1
A white noise approach to stochastic currents of Brownian motion	0
From Hamiltonian systems to compressible Euler equation driven by additive Hölder noise	0
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	0
On stability of distance under some tensor products and some calculations	0
Quantum symmetry in multigraphs (part II)	0
An etude on a renormalization	0
Ergodic decomposition in the space of unital completely positive maps	0
Algebraic groups in non-commutative probability theory revisited	0
Strengthened large deviation principle via pathwise regularity for anisotropic stochastic primitive equations	0
Fisher information bounds for McKean-Vlasov SDEs driven by fractional Brownian motion with small noise	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
A note on matrix-valued orthonormal bases over LCA groups	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Noncommutative quantum decomposition of Gegenbauer white noise process	0
Regularity of multiplicative processes on infinite-dimensional Lie groups	0
Operator-valued infinitesimal multiplicative convolutions	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
A note on invariant states of Gaussian quantum Markov semigroups	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
On near-martingales and a class of anticipating linear stochastic differential equations	0

Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
The strong law of large numbers for random semigroups with unbounded generators on uniformly smooth Banach spaces	0
On irreducibility of Gaussian quantum Markov semigroups	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise	0
Stochastic quantization of laser propagation models	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Fundamentals of classical and quantum stochastic filtering theory	0
Hidden quantum Markov processes	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
Two-dimensional quantum Bernoulli process and the related central limit theorem	0
Higher energy state approximations in the “Many interacting worlds” model	0
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion	0
An invitation to some of K. R. Parthasarathy’s writings: Part II	0
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	0
A note on generalized commuting contractions, and isometries	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
Some reminiscences about KRP, my dad, teacher and guide in life	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
Analytic solutions and conservation laws of nonlinear fractional Burgers-type equation with time-dependent diffusion coefficient by Lie group method	0
Positivity of Gibbs states on distance-regular graphs	0
Operator-valued Gaussian processes and their covariance kernels	0
The Stockwell transform on locally compact abelian groups	0
Quantum analogues of white noise delta functions	0
Author index (Vol. 25)	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0
Dissipative dynamics for infinite lattice systems	0
Algebraic Hidden processes and Hidden Markov processes	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
Matrix-valued Schrödinger operators over finite adeles	0
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	0
Quasi-mixing limits, mean-ratio quasi-ergodicity and Q-processes of Markov processes	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Finitely generated weakly monotone C∗-algebra	0
Block quantum dynamical semigroups of completely positive definite kernels	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	0
Rates of convergence for laws of the spectral maximum of free random variables	0
A note on the rate of convergence in the Boolean central limit theorem	0
Conditionally monotone cumulants via shuffle algebra	0
On the rate of convergence to the Boolean extreme value distribution under the von Mises condition	0
Quasi-invariant states	0
A few remarks on intermediate subalgebras of an inclusion of C∗-algebras	0
The classical de Finetti Theorem for strongly quasi–invariant states	0
Existence and uniqueness of stochastic PDEs associated with the forward equations: An approach using alternate norms	0
Preface	0
A new numerical scheme for Itô stochastic differential equations based on Wick-type Wong–Zakai arguments	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
On the non-commutative multifractional Brownian motion	0
Uniform Measure for Continuous-Time Quantum Walk on Hypercube	0
Ground state of one-dimensional Fermion–Phonon systems	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
Theory of Q-commuting contractions: Joint reducing subspaces and orthogonal decompositions	0
Anticipating quantum stochastic integrals	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
Bi-free probability theory and reflection positivity	0
Stochastic approximation in infinite dimensions	0
An invitation to some of K. R. Parthasarathy’s writings: Part I	0
Universality theorems for asymmetric spaces	0
Quantum Wasserstein distance of order 1 between channels	0
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	0