add dimitrov keynote

Author: aleksandrsokolov

data/plenary/dimitrov.md

@@ -1,3 +1,26 @@
 ---
-title: ""
+title: "THE ALMOST LACK OF MEMORY (ALM) DISTRIBUTIONS AND THEIR APPLICATIONS"
 ---
+
+Long ago baron Augustin-Louis Cauchy (1789 - 1857) proved in 1821 that if the functional
+equation $f(x+y)=f(x)f(y)$ holds for any non-negative arguments $x$ and $y$, then the function
+$f(x)$ exponential $f(x)=e^{cx}$ function. When applied to the probability property of a random
+lifetime of a technical unit $X$ it looks $P\{X \ge x+y\}= P \{X \ge x\}P\{X \ge y\}$. From Kaushy theorem and
+Probability it follows that the lifetime probability distribution function has the form $F \{X \ge' x\}= 1 - e^{-ax}$.
+And it follows that if this unit still works (is alive at age $y$), the chances to stay alive
+some more time x, is the same as when just starts functioning:
+$P\{X \ge x+y | X \ge y \}= P\{X \ge x\}$.
+
+A conventional reading of this property is known as Lack-of-Memory (LM) property at any age
+$y$. It means that at any age y the units with exponentially distributed lifetimes lose the
+memory about their current age and behave as a just newborn. This is a characteristic
+property that helps in practice to recognize the lifetime distribution of technical items.
+
+In a series of works with numerous colleagues (please, see the references) on similar
+properties that may be used in practice to recognize the lifetime distribution of technical
+items. And we found that if a lifetime shows the lack of memory at a given age c.
+
+It will lose the memory at any age mc integer multiple to the constant c for infinitely many
+times $m=2,3, 4,…$. For this reason, we named these distributions ALM distributions. And we
+found the mathematical form of this class of probability distributions, established numerous
+mathematical presentations, physical properties, and found various practical applications.

src/pages/keynotes/[slug].jsx

@@ -24,7 +24,7 @@ const KeynotePage = ({ keynote }) => {
               <h1 className="text-2xl md:text-4xl text-center md:text-left leading-10 font-extrabold">
                 {keynote.title}
               </h1>
-              { authors.map((author => <SpeakerSmallCard speaker={author} className="mt-4 font-medium text-gray-600" />))  }
+              { authors.map((author => <SpeakerSmallCard key={author.slug} speaker={author} className="mt-4 font-medium text-gray-600" />))  }
               {/*<SpeakerSmallCard speaker={keynote.speaker} className="mt-4 font-medium text-gray-600" />*/}
               {/*{keynote.coauthor ? <SpeakerSmallCard speaker={keynote.coauthor} className="mt-4 font-medium text-gray-600" /> : null }*/}