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# Physics of Risk blog

This repository will always contain a single commit with the most recent generated files. For source files (or version history) please refer to our other repositories.
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<?xml version="1.0" encoding="utf-8"?>
<rss version="2.0"><channel><title>Physics of Risk</title><link>https://rf.mokslasplius.lt/</link><description></description><lastBuildDate>Tue, 19 Dec 2023 08:00:00 +0200</lastBuildDate><item><title>Noise generated by a single charge carrier</title><link>https://rf.mokslasplius.lt/noise-generated-by-single-charge-carrier/</link><description>&lt;p&gt;&lt;a href="/tag/shot-noise/"&gt;Shot noise&lt;/a&gt; can be observed in variety of materials,
devices and systems. Let us consider one of the simplest examples from
physics: noise generated by trapping and detrapping of a single charge
carrier.&lt;/p&gt;
</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 19 Dec 2023 08:00:00 +0200</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-12-19:/noise-generated-by-single-charge-carrier/</guid><category>2023</category><category>Interactive models</category><category>statistics</category><category>spectral density</category><category>shot noise</category><category>Lorentzian</category><category>random telegraph noise</category></item><item><title>Shot noise in continuous time</title><link>https://rf.mokslasplius.lt/shot-noise-continuous-time/</link><description>&lt;p&gt;&lt;a href="https://rf.mokslasplius.lt/shot-noise/"&gt;Last time&lt;/a&gt; we have moved away from
mathematical abstraction of &lt;a href="/tag/point-process/"&gt;point events&lt;/a&gt; by
considering pulses of finite duration. Yet the theory we have derived in the
&lt;a href="https://rf.mokslasplius.lt/shot-noise/"&gt;earlier post&lt;/a&gt; did not fully match
the simulated &lt;a href="/tag/spectral-density/"&gt;power spectral density&lt;/a&gt;. In this post
we will see that the discrepancy close to the &lt;a href="https://en.wikipedia.org/wiki/Nyquist_frequency"&gt;Nyquist
frequency&lt;/a&gt;
arises due to the observations being made in discrete time.&lt;/p&gt;
</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 05 Dec 2023 08:00:00 +0200</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-12-05:/shot-noise-continuous-time/</guid><category>2023</category><category>Interactive models</category><category>statistics</category><category>Fourier transform</category><category>spectral density</category><category>shot noise</category></item><item><title>A. Hajimiri: Shot noise and other noises</title><link>https://rf.mokslasplius.lt/a-hajimiri-shot-noise-and-other-noises/</link><description>&lt;p&gt;The following video by prof. Ali Hajimiri discusses various types of noises
often seen in physical systems. I have found it and watched it in
preparation to our &lt;a href="https://rf.mokslasplius.lt/shot-noise/"&gt;previous post on shot
noise&lt;/a&gt;. I believe some of our
readers may find it interesting too.&lt;/p&gt;
&lt;div class="embed-responsive embed-responsive-16by9"&gt;&lt;iframe class="embed-responsive-item html5-embed html5-embed-youtube" src="https://www.youtube-nocookie.com/embed/Wu4cB9qbrBk" allowfullscreen&gt;&lt;/iframe&gt;&lt;/div&gt;</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 28 Nov 2023 08:00:00 +0200</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-11-28:/a-hajimiri-shot-noise-and-other-noises/</guid><category>2023</category><category>video</category><category>A. Hajimiri</category><category>statistics</category><category>shot noise</category><category>1/f noise</category><category>spectral density</category></item><item><title>Shot noise</title><link>https://rf.mokslasplius.lt/shot-noise/</link><description>&lt;p&gt;In the last few posts we have looked at &lt;a href="/tag/spectral-density/"&gt;spectral
densities&lt;/a&gt; of a select &lt;a href="/tag/point-process/"&gt;point
processes&lt;/a&gt;. In those posts we have represented events
as points on the time axis. Such approach is just an approximation, which is
valid when the duration of events is negligible, but it is not always so.
When the events have finite duration, but the process is otherwise identical
to the Poisson process, we obtain a peculiar type of noise known as the
&lt;a href="/tag/shot-noise/"&gt;shot noise&lt;/a&gt;.&lt;/p&gt;
</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 21 Nov 2023 08:00:00 +0200</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-11-21:/shot-noise/</guid><category>2023</category><category>Interactive models</category><category>statistics</category><category>Fourier transform</category><category>spectral density</category><category>shot noise</category></item><item><title>Point process with normal inter-event times</title><link>https://rf.mokslasplius.lt/point-process-psd-normal/</link><description>&lt;p&gt;I have also attended couple of conferences in the end of October. At
&lt;a href="https://icnf-2023.sciencesconf.org/"&gt;International Conference on Noise and
Fluctuations&lt;/a&gt; I got asked a question
the gist of which was what would change in my model, if inter-event times
would be normally distributed. I would expect that, in the particular case
I was talking about, little would change, but let us make sure of that. In
this post, we will take a look at point process, and we will revisit a more
complicated topic I talked about later on.</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 07 Nov 2023 08:00:00 +0200</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-11-07:/point-process-psd-normal/</guid><category>2023</category><category>Interactive models</category><category>statistics</category><category>point process</category><category>spectral density</category></item><item><title>B. Kaulakys: Nobel prize 2021: Laureates and their research</title><link>https://rf.mokslasplius.lt/b-kaulakys-nobel-prize-2021/</link><description>&lt;p&gt;A member of our research group gave a talk on Nobel prize awarded in 2021 at
&lt;a href="https://www.ff.vu.lt/lnfk-45"&gt;45th Lithuanian National Physics Conference&lt;/a&gt;.
Habil. dr. &lt;a href="/tag/b-kaulakys/"&gt;B. Kaulakys&lt;/a&gt; talked about the research for
which the prize was awarded and how this research relates to works by
Lithuanian physicists (mostly our group) and mathematicians. We invite you
to watch it, but note that the recording is in Lithuanian. The slides, also
in Lithuanian, are available
&lt;a href="https://rf.mokslasplius.lt/uploads/2023/Kaulakys_LNFK-2023.pdf"&gt;here&lt;/a&gt;.&lt;/p&gt;
&lt;div class="embed-responsive embed-responsive-16by9"&gt;&lt;iframe class="embed-responsive-item html5-embed html5-embed-youtube" src="https://www.youtube-nocookie.com/embed/tT4I2JVdc0Q" allowfullscreen&gt;&lt;/iframe&gt;&lt;/div&gt;
&lt;p&gt;Recording was made by the organizers of the conference. The full recording
of the special session is available on the Facebook page of &lt;a href="https://www.facebook.com/FizikosFakultetasVU"&gt;Faculty of
Physics at Vilnius
University&lt;/a&gt;. See &lt;a href="https://www.facebook.com/FizikosFakultetasVU/videos/711826120389012"&gt;this
post&lt;/a&gt;,
if you are interested.&lt;/p&gt;</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Bronislovas Kaulakys</dc:creator><pubDate>Tue, 31 Oct 2023 08:00:00 +0200</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-10-31:/b-kaulakys-nobel-prize-2021/</guid><category>2023</category><category>video</category><category>B. Kaulakys</category><category>conference</category><category>LNFK</category><category>VU FF</category><category>Nobel prize</category><category>complex systems</category></item><item><title>PSD of a point process with power-law inter-event times</title><link>https://rf.mokslasplius.lt/point-process-psd-power-law/</link><description>&lt;p&gt;In &lt;a href="https://rf.mokslasplius.lt/point-process-psd-weibull/"&gt;the previous
post&lt;/a&gt; we have seen
that introducing memory into the memory-less &lt;a href="/tag/poisson-process/"&gt;Poisson
process&lt;/a&gt; makes things very complicated. But we
haven't yet still seen &lt;a href="/tag/1f-noise/"&gt;1/f noise&lt;/a&gt;. So now let us consider
power-law distributed inter-event times!</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 17 Oct 2023 08:00:00 +0300</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-10-17:/point-process-psd-power-law/</guid><category>2023</category><category>Interactive models</category><category>statistics</category><category>Poisson process</category><category>point process</category><category>Fourier transform</category><category>spectral density</category></item><item><title>Iain Explains: What is power spectral density?</title><link>https://rf.mokslasplius.lt/iain-explains-power-spectral-density/</link><description>&lt;p&gt;Over the last few posts we have been talking about the &lt;a href="/tag/spectral-density/"&gt;power spectral
density&lt;/a&gt; of different random processes. We have used
the fact that it is a modulus of the signal's &lt;a href="/tag/fourier-transform/"&gt;Fourier
transform&lt;/a&gt; squared. But what is the meaning of the
&lt;a href="/tag/spectral-density/"&gt;power spectral density&lt;/a&gt;? Watch the video by "&lt;a href="https://www.youtube.com/@iain_explains"&gt;Iain
Explains&lt;/a&gt;" below for some intuition.&lt;/p&gt;
&lt;div class="embed-responsive embed-responsive-16by9"&gt;&lt;iframe class="embed-responsive-item html5-embed html5-embed-youtube" src="https://www.youtube-nocookie.com/embed/DoSLMEEo1Y0" allowfullscreen&gt;&lt;/iframe&gt;&lt;/div&gt;</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 10 Oct 2023 08:00:00 +0300</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-10-10:/iain-explains-power-spectral-density/</guid><category>2023</category><category>Iain Explains</category><category>video</category><category>statistics</category><category>spectral density</category></item><item><title>PSD of a point process with non-exponential inter-event times</title><link>https://rf.mokslasplius.lt/point-process-psd-weibull/</link><description>&lt;p&gt;In &lt;a href="https://rf.mokslasplius.lt/poisson-process-psd/"&gt;the previous post&lt;/a&gt; we
have seen that the &lt;a href="/tag/poisson-process/"&gt;Poisson process&lt;/a&gt; generates &lt;a href="/tag/white-noise/"&gt;white
noise&lt;/a&gt;, which is not unexpected consequence of
exponential distribution being a limit of geometric distribution. So, if we
use non-exponential inter-event time distribution, we introduce memory into
the process. As the distribution of inter-event times is no longer
exponential, we now have not a &lt;a href="/tag/poisson-process/"&gt;Poisson process&lt;/a&gt;, but
a &lt;a href="/tag/point-process/"&gt;point process&lt;/a&gt;.</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 03 Oct 2023 08:00:00 +0300</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-10-03:/point-process-psd-weibull/</guid><category>2023</category><category>Interactive models</category><category>statistics</category><category>Poisson process</category><category>point process</category><category>Fourier transform</category><category>spectral density</category><category>ageing effects</category></item><item><title>PSD of a Poisson process</title><link>https://rf.mokslasplius.lt/poisson-process-psd/</link><description>&lt;p&gt;&lt;a href="https://rf.mokslasplius.lt/poisson-process/"&gt;Earlier&lt;/a&gt; we have
started talking about the &lt;a href="/tag/poisson-process/"&gt;Poisson processes&lt;/a&gt;. In the
few posts before the summer holidays we have driven our discussion towards
&lt;a href="https://rf.mokslasplius.lt/waiting-time-paradox/"&gt;waiting time paradox&lt;/a&gt;,
which is an interesting phenomenon we encounter in our day-to-day lives.
Here, on Physics of Risk we have an interest in &lt;a href="https://rf.mokslasplius.lt/colors-of-noise/"&gt;colors of
noise&lt;/a&gt; exhibited by variety of
&lt;a href="/tag/stochastic-models/"&gt;stochastic processes&lt;/a&gt;. Thus in the next few posts
let us examine the &lt;a href="/tag/spectral-density/"&gt;power spectral density&lt;/a&gt; of the
Poisson process.&lt;/p&gt;
</description><dc:creator xmlns:dc="http://purl.org/dc/elements/1.1/">Aleksejus Kononovicius</dc:creator><pubDate>Tue, 19 Sep 2023 08:00:00 +0300</pubDate><guid isPermaLink="false">tag:rf.mokslasplius.lt,2023-09-19:/poisson-process-psd/</guid><category>2023</category><category>Interactive models</category><category>statistics</category><category>Poisson process</category><category>Fourier transform</category><category>spectral density</category><category>white noise</category></item></channel></rss>
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