OOIR: Observatory of International Research

Papers

(The TQCC of Infinite Dimensional Analysis Quantum Probability and Related Topics is 1. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Quantum Markov chains: A unification approach	22
Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree	10
Full error analysis for the training of deep neural networks	8
Refined existence and regularity results for a class of semilinear dissipative SPDEs	8
Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs	7
On stopping rules for tree-indexed quantum Markov chains	6
Quantum Strassen’s theorem	5
Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation	4
Equilibrium statistical mechanics of barotropic quasi-geostrophic equations	3
Stability of the Markov (conservativity) property under perturbations	3
Quadratic-exponential functionals of Gaussian quantum processes	3
Path independence of the additive functionals for McKean–Vlasov stochastic differential equations with jumps	3
Generalized Bernoulli Wick differential equation	3
Universality theorems for asymmetric spaces	3
Stochastic version of Henry type Gronwall’s inequality	3
Lévy Laplacians and instantons on manifolds	3
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	3
Quantum Aitchison geometry	3
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	3
Interacting Fock spaces and subproduct systems	3
Characterization of Gaussian quantum Markov semigroups	3
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	2
Sensitivity analysis in the infinite dimensional Heston model	2
On irreducibility of Gaussian quantum Markov semigroups	2
Large deviations for a stochastic Cahn–Hilliard equation in Hölder norm	2

Sufficient statistic and Rao–Blackwell theorem in quantum probability	2
Regularization of cylindrical processes in locally convex spaces	2
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	2
Construction of g-fusion frames in Hilbert spaces	2
The category of compact quantum metric spaces	2
White noise delta functions and infinite-dimensional Laplacians	2
Further results on the arcwise connectedness of solution sets of discontinuous quantum stochastic differential inclusions	1
Hafnian point processes and quasi-free states on the CCR algebra	1
Uniqueness and superposition of the space-distribution-dependent Zakai equations	1
On the non-commutative multifractional Brownian motion	1
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	1
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	1
Causal perturbative QFT and white noise	1
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	1
Strong 1-boundedness of unimodular orthogonal free quantum groups	1
Positivity of Gibbs states on distance-regular graphs	1
A stochastic convolution integral inequality	1
Combinatorics of NC-probability spaces with independent constants	1
Quantum Wasserstein distance of order 1 between channels	1
Noncommutative weighted individual ergodic theorems with continuous time	1
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	1
The Stockwell transform on locally compact abelian groups	1
A note concerning Marcinkiewicz integral with rough kernel	1
Free CIR processes	1