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The paper introduces a family of stationary random measures in R d generated by so-called germ-grain models. The germ-grain model is deened as the union of i.i.d. compact random sets (grains) shifted by points (germs) of a point process. This model gives rise to random measures deened by the sum of contributions of non-overlapping parts of the individual… (More)

Cardiovascular deaths during or following sport activities repeatedly raise the question about a practicable preparticipation screening for athletes to prevent such adverse events. In Germany and most European countries, well-equipped sports medicine centers evaluate the health of the Olympic athletes through regular checkups, which include a detailed… (More)

- Lothar Heinrich
- 2004

We study the existence of the (thermodynamic) limit of the scaled cumulant-generating function Ln(z) = |Wn| log E exp{z |Ξ ∩Wn|} of the empirical volume fraction |Ξ ∩Wn|/|Wn| , where | · | denotes the d-dimensional Lebesgue measure. Here, Ξ = ∪i≥1 (Ξi + Xi) denotes a d-dimensional Poisson grain model (also known as Boolean model) defined by a stationary… (More)

- Stefan Vogt, Lothar Heinrich, +4 authors Andreas Schmid
- Medicine and science in sports and exercise
- 2006

PURPOSE
The aim of the study was to evaluate the power output during a multistage professional road race using direct power measurements and to compare these results with the performance measurements using competition heart rate recordings.
METHODS
Six professional road cyclists performed an incremental cycling test during which peak power output, power… (More)

We derive a central limit theorem for the number of vertices of convex polytopes induced by stationary Poisson hyperplane processes in Rd . This result generalizes an earlier one proved by Paroux [Adv. in Appl. Probab. 30 (1998) 640–656] for intersection points of motion-invariant Poisson line processes in R2. Our proof is based on Hoeffding’s decomposition… (More)

- Lothar Heinrich, LUTZ MUCHE

We give a representation of the second-order factorial moment measure of the point process of nodes (vertices of cells) associated with a stationary Voronoi tessellation in Rd. If the Voronoi tessellation is generated by a stationary Poisson process this representation formula yields the corresponding pair correlation function gV (r) which can be expressed… (More)

- THIELE CENTRE, Michaela Prokesová, Lothar Heinrich
- 2006

We investigate a class of kernel estimators σ̂2 n of the asymptotic variance σ 2 of a d–dimensional stationary point process Ψ = ∑ i≥1 δXi which can be observed in a cubic sampling window Wn = [−n, n]d . σ2 is defined by the asymptotic relation Var(Ψ(Wn)) ∼ σ2 (2n)d (as n → ∞) and its existence is guaranteed whenever the corresponding reduced covariance… (More)

- Daniel König, York Olaf Schumacher, Lothar Heinrich, Andreas Schmid, Aloys Berg, Hans-Hermann Dickhuth
- Medicine and science in sports and exercise
- 2003

PURPOSE
Based on the determination of cardiac troponin (cTnT), brain natriuretic peptide (BNP), and echocardiographic measurements, recent investigations have reported myocardial damage and reversible cardiac dysfunction after prolonged endurance exercise in apparently healthy subjects. In the present study, we investigated the myocardial stress reaction in… (More)

- Lothar Heinrich, Andreas Schmid, Stephan Vogt, York-Olaf Schumacher, Anneliese Berbalk, Prof. Dr. Hans-Hermann Dickhuth
- Herz Kardiovaskuläre Erkrankungen
- 2006

Kardiovaskuläre Todesfälle während des Sports oder bedingt durch Sport werfen immer wieder die Frage nach sinnvollen Vorsorgeuntersuchungen auf. Für den olympischen Hochleistungssport gibt es in der Bundesrepublik Deutschland und in den meisten europäischen Ländern gut ausgerüstete Untersuchungszentren, die im Rahmen einer allgemeinen sportmedizinischen… (More)

- Carsten Altehoefer, Andreas Schmid, Martin Buechert, Nadir Alexander Ghanem, Lothar Heinrich, Mathias Langer
- Journal of magnetic resonance imaging : JMRI
- 2002

PURPOSE
To prospectively evaluate hematopoietic bone marrow of male professional cyclists in relation to performance data and laboratory data, and in comparison to age-matched healthy volunteers.
MATERIALS AND METHODS
Twenty male cyclists and 44 volunteers (27 males and 17 females) were prospectively studied by magnetic resonance imaging (MRI) at… (More)