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- Tempos locais das auto-intersecções do movimento BrownianoPublication . Drumond, Custódia Mercês Reis Rodrigues
- Matemática e matemáticos na MadeiraPublication . Drumond, Custódia
- The Feynman integrand for the perturbed harmonic oscillator as a Hida distributionPublication . Cunha, Mário; Drumond, Custódia; Leukert, Peter; Silva, José Luís; Westerkamp, WernerWe rwiew some basic notions and results of White Noise Analysis that are used in the con struction of the Feynman integrand as a generalized White Noise functional. We show that the Feyn man integrand for the harmonic oscillator in an external potential is a Hida distri
- Intersection local times of fractional Brownian motions with with H ∈ (0,1) as generalized white noise functionalsPublication . Drumond, Custódia; Oliveira, Maria João; Silva, José Luís daIn Rd, for any dimension d ≥ 1, expansions of self-intersection local times of fractional Brownian motions with arbitrary Hurst coefficients in (0,1) are presented. The expansions are in terms of Wick powers of white noises (corresponding to multiple Wiener integrals), being well defined in the sense of generalized white noise functionals.
- Concept of an elementary work as introduction to the line integral in engineering studiesPublication . Aleksandrova, Nelli; Drumond, Custódia; Drumond, CustódiaThe paper is devoted to the line integral topic belonging to the section of vector calculus in Mathematical Analysis applied to the undergraduate Mechanical Engineering program. An efficient way of teaching line integrals is proposed and developed based on the elem entary work/force principles. By this way, the mathematical concept of the line integral is supposed to be learned in harmony with the elementary mechanics to appreciate its diversity and to set up the right idea about the scientific area covered by Mechanical Engineering and related academic and technical fields. In terms of practical training, the research also offers two new techniques of analytical calculus for line integrals con taining singularities and provides a new coherent engineering approach to deal with vec tor fields as integrands in line integrals.
- The square of self intersection local time of Brownian motionPublication . Drumond, C.; Faria, M. de; Streit, L.
- The renormalization of self-intersection local times I: the chaos expansionPublication . Faria, Margarida de; Drumond, Custódia; Streit, Ludwig