activity
20062025
most citedThe fractional volatility model: No-arbitrage, leverage and completeness

16 citations · 32 across the 10 of their papers we have counts for

collaborators

10 papers

q-bio.PE2025

Sustainability, behavior patterns and crises

R. Vilela Mendes

Sustainability has been defined as meeting the needs of the present without compromising the ability of future generations to meet their own needs. But what are the needs of the pr…

cond-mat.soft2024

Brownian and fractional polymers with self-repulsion

Samuel Eleutério, R. Vilela Mendes

Brownian and fractional processes are useful computational tools for the modelling of physical phenomena. Here, modelling linear homopolymers in solution as Brownian or fractional…

q-fin.GN2022★ 1 cited

The fractional volatility model and rough volatility

R. Vilela Mendes

The question of the volatility roughness is interpreted in the framework of a data-reconstructed fractional volatility model, where volatility is driven by fractional noise. Some e…

math.PR2022

On a family of Levy processes without support in S'

R. Vilela Mendes

The distributional support of the sample paths of Lévy processes is an important issue for the construction of sparse statistical models, theories of integration in infinite dimens…

math.PR2017

Non-commutative probability and non-commutative processes

R. Vilela Mendes

A probability space is a pair () where is an algebra and a state on the algebra. In classical probability is the algebra of linear co…

cs.NE2013★ 3 cited

Learning ambiguous functions by neural networks

Rui Ligeiro, R. Vilela Mendes

It is not, in general, possible to have access to all variables that determine the behavior of a system. Having identified a number of variables whose values can be accessed, there…