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The universal path integral [PDF]
Path integrals represent a powerful route to quantization: they calculate probabilities by summing over classical configurations of variables such as fields, assigning each configuration a phase equal to the action of that configuration. This paper defines a universal path integral, which sums over all computable structures. This path integral contains
Seth Lloyd, Olaf Dreyer
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Clipping Path Clipping Path (16842768)
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Vestibular control of entorhinal cortex activity in spatial navigation
Navigation in rodents depends on both self-motion (idiothetic) and external (allothetic) information. Idiothetic information has a predominant role when allothetic information is absent or irrelevant.
Pierre-Yves eJacob +5 more
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13 pages, 14 figures; typos corrected, references added, discussion of weight factors ...
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Normalized Gaussian path integrals [PDF]
Path integrals play a crucial role in describing the dynamics of physical systems subject to classical or quantum noise. In fact, when correctly normalized, they express the probability of transition between two states of the system. In this work, we show a consistent approach to solve conditional and unconditional Euclidean (Wiener) Gaussian path ...
Giulio Corazza, Matteo Fadel
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Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method [PDF]
This paper presents a first passage type reliability analysis of strongly nonlinear stochastic single-degree-of-freedom systems. Specifically, the systems considered are a dry friction system, a stiffness controlled system, an inertia controlled system ...
Yurchenko, Daniil +2 more
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Influence of Ethnicity, Gender and Answering Mode on a Virtual Point-to-Origin Task
In a virtual point-to-origin task, participants seem to show different response patterns and underlying strategies for orientation, such as turner and non-turner response patterns. Turners respond as if succeeding to update simulated heading changes, and
Alexandra eKitson +2 more
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Grid cells are crucial in path integration and representation of the external world. The spikes of grid cells spatially form clusters called grid fields, which encode important information about allocentric positions.
Ziyi Gong, Ziyi Gong, Fangwen Yu
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Path integrals and parastatistics [PDF]
14 pages, no figures, phyzzx ...
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While the widely studied allocentric spatial representation holds a special status in neuroscience research, its exact nature and neural underpinnings continue to be the topic of debate, particularly in humans.
Arne D. Ekstrom +3 more
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