---
_id: '5803'
abstract:
- lang: eng
text: Different distance metrics produce Voronoi diagrams with different properties.
It is a well-known that on the (real) 2D plane or even on any 3D plane, a Voronoi
diagram (VD) based on the Euclidean distance metric produces convex Voronoi regions.
In this paper, we first show that this metric produces a persistent VD on the
2D digital plane, as it comprises digitally convex Voronoi regions and hence correctly
approximates the corresponding VD on the 2D real plane. Next, we show that on
a 3D digital plane D, the Euclidean metric spanning over its voxel set does not
guarantee a digital VD which is persistent with the real-space VD. As a solution,
we introduce a novel concept of functional-plane-convexity, which is ensured by
the Euclidean metric spanning over the pedal set of D. Necessary proofs and some
visual result have been provided to adjudge the merit and usefulness of the proposed
concept.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Partha
full_name: Bhowmick, Partha
last_name: Bhowmick
citation:
ama: 'Biswas R, Bhowmick P. Construction of persistent Voronoi diagram on 3D digital
plane. In: Combinatorial Image Analysis. Vol 10256. Cham: Springer Nature;
2017:93-104. doi:10.1007/978-3-319-59108-7_8'
apa: 'Biswas, R., & Bhowmick, P. (2017). Construction of persistent Voronoi
diagram on 3D digital plane. In Combinatorial image analysis (Vol. 10256,
pp. 93–104). Cham: Springer Nature. https://doi.org/10.1007/978-3-319-59108-7_8'
chicago: 'Biswas, Ranita, and Partha Bhowmick. “Construction of Persistent Voronoi
Diagram on 3D Digital Plane.” In Combinatorial Image Analysis, 10256:93–104.
Cham: Springer Nature, 2017. https://doi.org/10.1007/978-3-319-59108-7_8.'
ieee: 'R. Biswas and P. Bhowmick, “Construction of persistent Voronoi diagram on
3D digital plane,” in Combinatorial image analysis, vol. 10256, Cham: Springer
Nature, 2017, pp. 93–104.'
ista: 'Biswas R, Bhowmick P. 2017.Construction of persistent Voronoi diagram on
3D digital plane. In: Combinatorial image analysis. LNCS, vol. 10256, 93–104.'
mla: Biswas, Ranita, and Partha Bhowmick. “Construction of Persistent Voronoi Diagram
on 3D Digital Plane.” Combinatorial Image Analysis, vol. 10256, Springer
Nature, 2017, pp. 93–104, doi:10.1007/978-3-319-59108-7_8.
short: R. Biswas, P. Bhowmick, in:, Combinatorial Image Analysis, Springer Nature,
Cham, 2017, pp. 93–104.
conference:
end_date: 2017-06-21
location: Plovdiv, Bulgaria
name: 'IWCIA: International Workshop on Combinatorial Image Analysis'
start_date: 2017-06-19
date_created: 2019-01-08T20:42:56Z
date_published: 2017-05-17T00:00:00Z
date_updated: 2022-01-28T07:48:24Z
day: '17'
department:
- _id: HeEd
doi: 10.1007/978-3-319-59108-7_8
extern: '1'
intvolume: ' 10256'
language:
- iso: eng
month: '05'
oa_version: None
page: 93-104
place: Cham
publication: Combinatorial image analysis
publication_identifier:
isbn:
- 978-3-319-59107-0
- 978-3-319-59108-7
issn:
- 0302-9743
- 1611-3349
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Construction of persistent Voronoi diagram on 3D digital plane
type: book_chapter
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 10256
year: '2017'
...
---
_id: '313'
abstract:
- lang: eng
text: 'Tunneling of a particle through a potential barrier remains one of the most
remarkable quantum phenomena. Owing to advances in laser technology, electric
fields comparable to those electrons experience in atoms are readily generated
and open opportunities to dynamically investigate the process of electron tunneling
through the potential barrier formed by the superposition of both laser and atomic
fields. Attosecond-time and angstrom-space resolution of the strong laser-field
technique allow to address fundamental questions related to tunneling, which are
still open and debated: Which time is spent under the barrier and what momentum
is picked up by the particle in the meantime? In this combined experimental and
theoretical study we demonstrate that for strong-field ionization the leading
quantum mechanical Wigner treatment for the time resolved description of tunneling
is valid. We achieve a high sensitivity on the tunneling barrier and unambiguously
isolate its effects by performing a differential study of two systems with almost
identical tunneling geometry. Moreover, working with a low frequency laser, we
essentially limit the non-adiabaticity of the process as a major source of uncertainty.
The agreement between experiment and theory implies two substantial corrections
with respect to the widely employed quasiclassical treatment: In addition to a
non-vanishing longitudinal momentum along the laser field-direction we provide
clear evidence for a non-zero tunneling time delay. This addresses also the fundamental
question how the transition occurs from the tunnel barrier to free space classical
evolution of the ejected electron.'
alternative_title:
- 'Journal of Physics: Conference Series'
article_number: '012004'
author:
- first_name: Nicolas
full_name: Camus, Nicolas
last_name: Camus
- first_name: Enderalp
full_name: Yakaboylu, Enderalp
id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
last_name: Yakaboylu
orcid: 0000-0001-5973-0874
- first_name: Lutz
full_name: Fechner, Lutz
last_name: Fechner
- first_name: Michael
full_name: Klaiber, Michael
last_name: Klaiber
- first_name: Martin
full_name: Laux, Martin
last_name: Laux
- first_name: Yonghao
full_name: Mi, Yonghao
last_name: Mi
- first_name: Karen
full_name: Hatsagortsyan, Karen
last_name: Hatsagortsyan
- first_name: Thomas
full_name: Pfeifer, Thomas
last_name: Pfeifer
- first_name: Cristoph
full_name: Keitel, Cristoph
last_name: Keitel
- first_name: Robert
full_name: Moshammer, Robert
last_name: Moshammer
citation:
ama: 'Camus N, Yakaboylu E, Fechner L, et al. Experimental evidence for Wigner’s
tunneling time. In: Vol 999. American Physical Society; 2017. doi:10.1088/1742-6596/999/1/012004'
apa: 'Camus, N., Yakaboylu, E., Fechner, L., Klaiber, M., Laux, M., Mi, Y., … Moshammer,
R. (2017). Experimental evidence for Wigner’s tunneling time (Vol. 999). Presented
at the Annual International Laser Physics Workshop LPHYS, Kazan, Russian Federation:
American Physical Society. https://doi.org/10.1088/1742-6596/999/1/012004'
chicago: Camus, Nicolas, Enderalp Yakaboylu, Lutz Fechner, Michael Klaiber, Martin
Laux, Yonghao Mi, Karen Hatsagortsyan, Thomas Pfeifer, Cristoph Keitel, and Robert
Moshammer. “Experimental Evidence for Wigner’s Tunneling Time,” Vol. 999. American
Physical Society, 2017. https://doi.org/10.1088/1742-6596/999/1/012004.
ieee: N. Camus et al., “Experimental evidence for Wigner’s tunneling time,”
presented at the Annual International Laser Physics Workshop LPHYS, Kazan, Russian
Federation, 2017, vol. 999, no. 1.
ista: 'Camus N, Yakaboylu E, Fechner L, Klaiber M, Laux M, Mi Y, Hatsagortsyan K,
Pfeifer T, Keitel C, Moshammer R. 2017. Experimental evidence for Wigner’s tunneling
time. Annual International Laser Physics Workshop LPHYS, Journal of Physics: Conference
Series, vol. 999, 012004.'
mla: Camus, Nicolas, et al. Experimental Evidence for Wigner’s Tunneling Time.
Vol. 999, no. 1, 012004, American Physical Society, 2017, doi:10.1088/1742-6596/999/1/012004.
short: N. Camus, E. Yakaboylu, L. Fechner, M. Klaiber, M. Laux, Y. Mi, K. Hatsagortsyan,
T. Pfeifer, C. Keitel, R. Moshammer, in:, American Physical Society, 2017.
conference:
end_date: 2017-08-21
location: Kazan, Russian Federation
name: Annual International Laser Physics Workshop LPHYS
start_date: 2017-08-17
date_created: 2018-12-11T11:45:46Z
date_published: 2017-07-14T00:00:00Z
date_updated: 2023-02-23T12:36:07Z
day: '14'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.1088/1742-6596/999/1/012004
external_id:
arxiv:
- '1611.03701'
file:
- access_level: open_access
checksum: 6e70b525a84f6d5fb175c48e9f5cb59a
content_type: application/pdf
creator: dernst
date_created: 2019-01-22T08:34:10Z
date_updated: 2020-07-14T12:46:00Z
file_id: '5871'
file_name: 2017_Physics_Camus.pdf
file_size: 949321
relation: main_file
file_date_updated: 2020-07-14T12:46:00Z
has_accepted_license: '1'
intvolume: ' 999'
issue: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication_identifier:
issn:
- '17426588'
publication_status: published
publisher: American Physical Society
publist_id: '7552'
quality_controlled: '1'
related_material:
record:
- id: '6013'
relation: later_version
status: public
scopus_import: 1
status: public
title: Experimental evidence for Wigner's tunneling time
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 999
year: '2017'
...
---
_id: '6013'
abstract:
- lang: eng
text: The first hundred attoseconds of the electron dynamics during strong field
tunneling ionization are investigated. We quantify theoretically how the electron’s
classical trajectories in the continuum emerge from the tunneling process and
test the results with those achieved in parallel from attoclock measurements.
An especially high sensitivity on the tunneling barrier is accomplished here by
comparing the momentum distributions of two atomic species of slightly deviating
atomic potentials (argon and krypton) being ionized under absolutely identical
conditions with near-infrared laser pulses (1300 nm). The agreement between experiment
and theory provides clear evidence for a nonzero tunneling time delay and a nonvanishing
longitudinal momentum of the electron at the “tunnel exit.”
article_number: '023201'
author:
- first_name: Nicolas
full_name: Camus, Nicolas
last_name: Camus
- first_name: Enderalp
full_name: Yakaboylu, Enderalp
id: 38CB71F6-F248-11E8-B48F-1D18A9856A87
last_name: Yakaboylu
orcid: 0000-0001-5973-0874
- first_name: Lutz
full_name: Fechner, Lutz
last_name: Fechner
- first_name: Michael
full_name: Klaiber, Michael
last_name: Klaiber
- first_name: Martin
full_name: Laux, Martin
last_name: Laux
- first_name: Yonghao
full_name: Mi, Yonghao
last_name: Mi
- first_name: Karen Z.
full_name: Hatsagortsyan, Karen Z.
last_name: Hatsagortsyan
- first_name: Thomas
full_name: Pfeifer, Thomas
last_name: Pfeifer
- first_name: Christoph H.
full_name: Keitel, Christoph H.
last_name: Keitel
- first_name: Robert
full_name: Moshammer, Robert
last_name: Moshammer
citation:
ama: Camus N, Yakaboylu E, Fechner L, et al. Experimental evidence for quantum tunneling
time. Physical Review Letters. 2017;119(2). doi:10.1103/PhysRevLett.119.023201
apa: Camus, N., Yakaboylu, E., Fechner, L., Klaiber, M., Laux, M., Mi, Y., … Moshammer,
R. (2017). Experimental evidence for quantum tunneling time. Physical Review
Letters. American Physical Society. https://doi.org/10.1103/PhysRevLett.119.023201
chicago: Camus, Nicolas, Enderalp Yakaboylu, Lutz Fechner, Michael Klaiber, Martin
Laux, Yonghao Mi, Karen Z. Hatsagortsyan, Thomas Pfeifer, Christoph H. Keitel,
and Robert Moshammer. “Experimental Evidence for Quantum Tunneling Time.” Physical
Review Letters. American Physical Society, 2017. https://doi.org/10.1103/PhysRevLett.119.023201.
ieee: N. Camus et al., “Experimental evidence for quantum tunneling time,”
Physical Review Letters, vol. 119, no. 2. American Physical Society, 2017.
ista: Camus N, Yakaboylu E, Fechner L, Klaiber M, Laux M, Mi Y, Hatsagortsyan KZ,
Pfeifer T, Keitel CH, Moshammer R. 2017. Experimental evidence for quantum tunneling
time. Physical Review Letters. 119(2), 023201.
mla: Camus, Nicolas, et al. “Experimental Evidence for Quantum Tunneling Time.”
Physical Review Letters, vol. 119, no. 2, 023201, American Physical Society,
2017, doi:10.1103/PhysRevLett.119.023201.
short: N. Camus, E. Yakaboylu, L. Fechner, M. Klaiber, M. Laux, Y. Mi, K.Z. Hatsagortsyan,
T. Pfeifer, C.H. Keitel, R. Moshammer, Physical Review Letters 119 (2017).
date_created: 2019-02-14T15:24:13Z
date_published: 2017-07-14T00:00:00Z
date_updated: 2023-02-23T11:13:36Z
day: '14'
department:
- _id: MiLe
doi: 10.1103/PhysRevLett.119.023201
external_id:
arxiv:
- '1611.03701'
intvolume: ' 119'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1611.03701
month: '07'
oa: 1
oa_version: Preprint
publication: Physical Review Letters
publication_identifier:
eissn:
- 1079-7114
issn:
- 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '313'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Experimental evidence for quantum tunneling time
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 119
year: '2017'
...
---
_id: '605'
abstract:
- lang: eng
text: 'Position based cryptography (PBC), proposed in the seminal work of Chandran,
Goyal, Moriarty, and Ostrovsky (SIAM J. Computing, 2014), aims at constructing
cryptographic schemes in which the identity of the user is his geographic position.
Chandran et al. construct PBC schemes for secure positioning and position-based
key agreement in the bounded-storage model (Maurer, J. Cryptology, 1992). Apart
from bounded memory, their security proofs need a strong additional restriction
on the power of the adversary: he cannot compute joint functions of his inputs.
Removing this assumption is left as an open problem. We show that an answer to
this question would resolve a long standing open problem in multiparty communication
complexity: finding a function that is hard to compute with low communication
complexity in the simultaneous message model, but easy to compute in the fully
adaptive model. On a more positive side: we also show some implications in the
other direction, i.e.: we prove that lower bounds on the communication complexity
of certain multiparty problems imply existence of PBC primitives. Using this result
we then show two attractive ways to “bypass” our hardness result: the first uses
the random oracle model, the second weakens the locality requirement in the bounded-storage
model to online computability. The random oracle construction is arguably one
of the simplest proposed so far in this area. Our results indicate that constructing
improved provably secure protocols for PBC requires a better understanding of
multiparty communication complexity. This is yet another example where negative
results in one area (in our case: lower bounds in multiparty communication complexity)
can be used to construct secure cryptographic schemes.'
alternative_title:
- LNCS
author:
- first_name: Joshua
full_name: Brody, Joshua
last_name: Brody
- first_name: Stefan
full_name: Dziembowski, Stefan
last_name: Dziembowski
- first_name: Sebastian
full_name: Faust, Sebastian
last_name: Faust
- first_name: Krzysztof Z
full_name: Pietrzak, Krzysztof Z
id: 3E04A7AA-F248-11E8-B48F-1D18A9856A87
last_name: Pietrzak
orcid: 0000-0002-9139-1654
citation:
ama: 'Brody J, Dziembowski S, Faust S, Pietrzak KZ. Position based cryptography
and multiparty communication complexity. In: Kalai Y, Reyzin L, eds. Vol 10677.
Springer; 2017:56-81. doi:10.1007/978-3-319-70500-2_3'
apa: 'Brody, J., Dziembowski, S., Faust, S., & Pietrzak, K. Z. (2017). Position
based cryptography and multiparty communication complexity. In Y. Kalai &
L. Reyzin (Eds.) (Vol. 10677, pp. 56–81). Presented at the TCC: Theory of Cryptography
Conference, Baltimore, MD, United States: Springer. https://doi.org/10.1007/978-3-319-70500-2_3'
chicago: Brody, Joshua, Stefan Dziembowski, Sebastian Faust, and Krzysztof Z Pietrzak.
“Position Based Cryptography and Multiparty Communication Complexity.” edited
by Yael Kalai and Leonid Reyzin, 10677:56–81. Springer, 2017. https://doi.org/10.1007/978-3-319-70500-2_3.
ieee: 'J. Brody, S. Dziembowski, S. Faust, and K. Z. Pietrzak, “Position based cryptography
and multiparty communication complexity,” presented at the TCC: Theory of Cryptography
Conference, Baltimore, MD, United States, 2017, vol. 10677, pp. 56–81.'
ista: 'Brody J, Dziembowski S, Faust S, Pietrzak KZ. 2017. Position based cryptography
and multiparty communication complexity. TCC: Theory of Cryptography Conference,
LNCS, vol. 10677, 56–81.'
mla: Brody, Joshua, et al. Position Based Cryptography and Multiparty Communication
Complexity. Edited by Yael Kalai and Leonid Reyzin, vol. 10677, Springer,
2017, pp. 56–81, doi:10.1007/978-3-319-70500-2_3.
short: J. Brody, S. Dziembowski, S. Faust, K.Z. Pietrzak, in:, Y. Kalai, L. Reyzin
(Eds.), Springer, 2017, pp. 56–81.
conference:
end_date: 2017-11-15
location: Baltimore, MD, United States
name: 'TCC: Theory of Cryptography Conference'
start_date: 2017-11-12
date_created: 2018-12-11T11:47:27Z
date_published: 2017-11-05T00:00:00Z
date_updated: 2021-01-12T08:05:53Z
day: '05'
department:
- _id: KrPi
doi: 10.1007/978-3-319-70500-2_3
ec_funded: 1
editor:
- first_name: Yael
full_name: Kalai, Yael
last_name: Kalai
- first_name: Leonid
full_name: Reyzin, Leonid
last_name: Reyzin
intvolume: ' 10677'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprint.iacr.org/2016/536
month: '11'
oa: 1
oa_version: Submitted Version
page: 56 - 81
project:
- _id: 258AA5B2-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '682815'
name: Teaching Old Crypto New Tricks
publication_identifier:
isbn:
- 978-331970499-9
publication_status: published
publisher: Springer
publist_id: '7200'
quality_controlled: '1'
scopus_import: 1
status: public
title: Position based cryptography and multiparty communication complexity
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 10677
year: '2017'
...
---
_id: '604'
abstract:
- lang: eng
text: In several settings of physics and chemistry one has to deal with molecules
interacting with some kind of an external environment, be it a gas, a solution,
or a crystal surface. Understanding molecular processes in the presence of such
a many-particle bath is inherently challenging, and usually requires large-scale
numerical computations. Here, we present an alternative approach to the problem,
based on the notion of the angulon quasiparticle. We show that molecules rotating
inside superfluid helium nanodroplets and Bose–Einstein condensates form angulons,
and therefore can be described by straightforward solutions of a simple microscopic
Hamiltonian. Casting the problem in the language of angulons allows us not only
to greatly simplify it, but also to gain insights into the origins of the observed
phenomena and to make predictions for future experimental studies.
alternative_title:
- Theoretical and Computational Chemistry Series
author:
- first_name: Mikhail
full_name: Lemeshko, Mikhail
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Richard
full_name: Schmidt, Richard
last_name: Schmidt
citation:
ama: 'Lemeshko M, Schmidt R. Molecular impurities interacting with a many-particle
environment: From ultracold gases to helium nanodroplets. In: Dulieu O, Osterwalder
A, eds. Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero
. Vol 11. Theoretical and Computational Chemistry Series. The Royal Society
of Chemistry; 2017:444-495. doi:10.1039/9781782626800-00444'
apa: 'Lemeshko, M., & Schmidt, R. (2017). Molecular impurities interacting with
a many-particle environment: From ultracold gases to helium nanodroplets. In O.
Dulieu & A. Osterwalder (Eds.), Cold Chemistry: Molecular Scattering and
Reactivity Near Absolute Zero (Vol. 11, pp. 444–495). The Royal Society of
Chemistry. https://doi.org/10.1039/9781782626800-00444'
chicago: 'Lemeshko, Mikhail, and Richard Schmidt. “Molecular Impurities Interacting
with a Many-Particle Environment: From Ultracold Gases to Helium Nanodroplets.”
In Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero ,
edited by Oliver Dulieu and Andreas Osterwalder, 11:444–95. Theoretical and Computational
Chemistry Series. The Royal Society of Chemistry, 2017. https://doi.org/10.1039/9781782626800-00444.'
ieee: 'M. Lemeshko and R. Schmidt, “Molecular impurities interacting with a many-particle
environment: From ultracold gases to helium nanodroplets,” in Cold Chemistry:
Molecular Scattering and Reactivity Near Absolute Zero , vol. 11, O. Dulieu
and A. Osterwalder, Eds. The Royal Society of Chemistry, 2017, pp. 444–495.'
ista: 'Lemeshko M, Schmidt R. 2017.Molecular impurities interacting with a many-particle
environment: From ultracold gases to helium nanodroplets. In: Cold Chemistry:
Molecular Scattering and Reactivity Near Absolute Zero . Theoretical and Computational
Chemistry Series, vol. 11, 444–495.'
mla: 'Lemeshko, Mikhail, and Richard Schmidt. “Molecular Impurities Interacting
with a Many-Particle Environment: From Ultracold Gases to Helium Nanodroplets.”
Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero ,
edited by Oliver Dulieu and Andreas Osterwalder, vol. 11, The Royal Society of
Chemistry, 2017, pp. 444–95, doi:10.1039/9781782626800-00444.'
short: 'M. Lemeshko, R. Schmidt, in:, O. Dulieu, A. Osterwalder (Eds.), Cold Chemistry:
Molecular Scattering and Reactivity Near Absolute Zero , The Royal Society of
Chemistry, 2017, pp. 444–495.'
date_created: 2018-12-11T11:47:27Z
date_published: 2017-12-14T00:00:00Z
date_updated: 2021-01-12T08:05:50Z
day: '14'
department:
- _id: MiLe
doi: 10.1039/9781782626800-00444
editor:
- first_name: Oliver
full_name: Dulieu, Oliver
last_name: Dulieu
- first_name: Andreas
full_name: Osterwalder, Andreas
last_name: Osterwalder
intvolume: ' 11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1703.06753
month: '12'
oa: 1
oa_version: Submitted Version
page: 444 - 495
publication: 'Cold Chemistry: Molecular Scattering and Reactivity Near Absolute Zero '
publication_identifier:
issn:
- '20413181'
publication_status: published
publisher: The Royal Society of Chemistry
publist_id: '7201'
quality_controlled: '1'
scopus_import: 1
series_title: Theoretical and Computational Chemistry Series
status: public
title: 'Molecular impurities interacting with a many-particle environment: From ultracold
gases to helium nanodroplets'
type: book_chapter
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2017'
...