Unique Inverse

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Peter Skands - One of the best experts on this subject based on the ideXlab platform.

  • Sector Showers for Hadron Collisions.
    Journal of High Energy Physics, 2020
    Co-Authors: Helen Brooks, Christian T Preuss, Peter Skands
    Abstract:

    In conventional parton showers (including ones based on dipoles/antennae), a given $(\mathrm{Born}+m)$-parton configuration can typically be reached via ${\mathcal O}(m!)$ different "shower histories". In the context of matrix-element-correction and merging procedures, accounting for these histories mandates fairly complex and resource-intensive algorithms. A so far little-explored alternative in the shower context is to divide the branching phase spaces into distinct "sectors", each of which only receives contributions from a single branching kernel. This has a number of consequences including making the shower operator bijective; i.e., each parton configuration now has a single Unique "Inverse". As a first step towards developing a full-fledged matrix-element-correction and merging procedure based on such showers, we here extend the sector approach for antenna showers to hadron-hadron collisions, including mass and helicity dependence.

  • Creating Unique Parton Shower Histories with Sector Showers
    arXiv: High Energy Physics - Phenomenology, 2020
    Co-Authors: Helen Brooks, Peter Skands, Christian T Preuss
    Abstract:

    In conventional parton showers (including ones based on dipoles/antennae), a given $(\mathrm{Born}+m)$-parton configuration can typically be reached via ${\mathcal O}(m!)$ different "shower histories". In the context of matrix-element-correction and merging procedures, accounting for these histories mandates fairly complex and resource-intensive algorithms. A so far little-explored alternative in the shower context is to divide the branching phase spaces into distinct "sectors", each of which only receives contributions from a single branching kernel. This has a number of consequences including making the shower operator bijective; i.e., each parton configuration now has a single Unique "Inverse". As a first step towards developing a full-fledged matrix-element-correction and merging procedure based on such showers, we here extend the sector approach for antenna showers to hadron-hadron collisions, including mass and helicity dependence.

Kerntopf Pawel - One of the best experts on this subject based on the ideXlab platform.

  • Using Homing, Synchronizing and Distinguishing Input Sequences for the Analysis of Reversible Finite State Machines
    University of Niš, 2019
    Co-Authors: Lukac Martin, Kameyama Michitaka, Perkowski Marek, Kerntopf Pawel
    Abstract:

    https://pdxscholar.library.pdx.edu/ece_fac/497/A digital device is called reversible if it realizes a reversible mapping, i.e., the one for which there exist a Unique Inverse. The field of reversible computing is devoted to studying all aspects of using and designing reversible devices. During last 15 years this field has been developing very intensively due to its applications in quantum computing, nanotechnology and reducing power consumption of digital devices. We present an analysis of the Reversible Finite State Machines (RFSM) with respect to three well known sequences used in the testability analysis of the classical Finite State Machines (FSM). The homing, distinguishing and synchronizing sequences are applied to two types of reversible FSMs: the converging FSM (CRFSM) and the nonconverging FSM (NCRFSM) and the effect is studied and analyzed. We show that while only certain classical FSMs possess all three sequences, CRFSMs and NCRFSMs have properties allowing to directly determine what type of sequences these machines possess

  • Using Homing, Synchronizing and Distinguishing Input Sequences for the Analysis of Reversible Finite State Machines
    PDXScholar, 2019
    Co-Authors: Lukac Martin, Kameyama Michitaka, Perkowski, Marek A., Kerntopf Pawel
    Abstract:

    A digital device is called reversible if it realizes a reversible mapping, i.e., the one for which there exist a Unique Inverse. The field of reversible computing is devoted to studying all aspects of using and designing reversible devices. During last 15 years this field has been developing very intensively due to its applications in quantum computing, nanotechnology and reducing power consumption of digital devices. We present an analysis of the Reversible Finite State Machines (RFSM) with respect to three well known sequences used in the testability analysis of the classical Finite State Machines (FSM). The homing, distinguishing and synchronizing sequences are applied to two types of reversible FSMs: the converging FSM (CRFSM) and the nonconverging FSM (NCRFSM) and the effect is studied and analyzed. We show that while only certain classical FSMs possess all three sequences, CRFSMs and NCRFSMs have properties allowing to directly determine what type of sequences these machines possess

Samuel J. Williamson - One of the best experts on this subject based on the ideXlab platform.

Helen Brooks - One of the best experts on this subject based on the ideXlab platform.

  • Sector Showers for Hadron Collisions.
    Journal of High Energy Physics, 2020
    Co-Authors: Helen Brooks, Christian T Preuss, Peter Skands
    Abstract:

    In conventional parton showers (including ones based on dipoles/antennae), a given $(\mathrm{Born}+m)$-parton configuration can typically be reached via ${\mathcal O}(m!)$ different "shower histories". In the context of matrix-element-correction and merging procedures, accounting for these histories mandates fairly complex and resource-intensive algorithms. A so far little-explored alternative in the shower context is to divide the branching phase spaces into distinct "sectors", each of which only receives contributions from a single branching kernel. This has a number of consequences including making the shower operator bijective; i.e., each parton configuration now has a single Unique "Inverse". As a first step towards developing a full-fledged matrix-element-correction and merging procedure based on such showers, we here extend the sector approach for antenna showers to hadron-hadron collisions, including mass and helicity dependence.

  • Creating Unique Parton Shower Histories with Sector Showers
    arXiv: High Energy Physics - Phenomenology, 2020
    Co-Authors: Helen Brooks, Peter Skands, Christian T Preuss
    Abstract:

    In conventional parton showers (including ones based on dipoles/antennae), a given $(\mathrm{Born}+m)$-parton configuration can typically be reached via ${\mathcal O}(m!)$ different "shower histories". In the context of matrix-element-correction and merging procedures, accounting for these histories mandates fairly complex and resource-intensive algorithms. A so far little-explored alternative in the shower context is to divide the branching phase spaces into distinct "sectors", each of which only receives contributions from a single branching kernel. This has a number of consequences including making the shower operator bijective; i.e., each parton configuration now has a single Unique "Inverse". As a first step towards developing a full-fledged matrix-element-correction and merging procedure based on such showers, we here extend the sector approach for antenna showers to hadron-hadron collisions, including mass and helicity dependence.

Stephen H. Hartzell - One of the best experts on this subject based on the ideXlab platform.

  • Site response estimation from earthquake data
    Bulletin of the Seismological Society of America, 1992
    Co-Authors: Stephen H. Hartzell
    Abstract:

    Abstract Aftershocks of the 1989 Loma Prieta, California, earthquake are used to estimate site response along the San Francisco Peninsula. A total of 215 shear-wave records from 24 sources and 21 sites are used in a linear inversion for source and site response spectra. The methodology makes no assumptions about the shape of the source spectrum. However, to obtain a stable, Unique Inverse a Q model and geometrical spreading factor are assumed, as well as a constraint on site response that sets the site response averaged over two specific stations to 1.0. Site responses calculated by this formulation of the problem are compared with other studies in the same region that use different methodologies and / or data. The shear-wave site responses compare favorably with estimates based on an ω 2 -constrained source model. Comparison with coda amplification factors is not as close, but still favorable considering that the coda values were determined for nearby locations with similar geology, and not the same sites. The degree of agreement between the three methods is encouraging considering the very different assumptions and data used.